HapMan.idx

\indexentry{HenonOrbit|hyperpage}{3}
\indexentry{CubicalComplex|hyperpage}{3}
\indexentry{PureCubicalComplex|hyperpage}{3}
\indexentry{PureCubicalKnot|hyperpage}{3}
\indexentry{PurePermutahedralKnot|hyperpage}{4}
\indexentry{PurePermutahedralComplex|hyperpage}{4}
\indexentry{CayleyGraphOfGroup|hyperpage}{4}
\indexentry{EquivariantEuclideanSpace|hyperpage}{4}
\indexentry{EquivariantOrbitPolytope|hyperpage}{5}
\indexentry{EquivariantTwoComplex|hyperpage}{5}
\indexentry{QuillenComplex|hyperpage}{5}
\indexentry{RestrictedEquivariantCWComplex|hyperpage}{5}
\indexentry{RandomSimplicialGraph|hyperpage}{5}
\indexentry{RandomSimplicialTwoComplex|hyperpage}{6}
\indexentry{ReadCSVfileAsPureCubicalKnot|hyperpage}{6}
\indexentry{ReadImageAsPureCubicalComplex|hyperpage}{6}
\indexentry{ReadImageAsFilteredPureCubicalComplex|hyperpage}{7}
\indexentry{ReadImageAsWeightFunction|hyperpage}{7}
\indexentry{ReadPDBfileAsPureCubicalComplex|hyperpage}{7}
\indexentry{ReadPDBfileAsPurePermutahedralComplex|hyperpage}{7}
\indexentry{RegularCWPolytope|hyperpage}{8}
\indexentry{SimplicialComplex|hyperpage}{8}
\indexentry{SymmetricMatrixToFilteredGraph|hyperpage}{8}
\indexentry{SymmetricMatrixToGraph|hyperpage}{9}
\indexentry{CayleyMetric|hyperpage}{9}
\indexentry{EuclideanMetric|hyperpage}{9}
\indexentry{EuclideanSquaredMetric|hyperpage}{9}
\indexentry{HammingMetric|hyperpage}{9}
\indexentry{KendallMetric|hyperpage}{10}
\indexentry{ManhattanMetric|hyperpage}{10}
\indexentry{VectorsToSymmetricMatrix|hyperpage}{10}
\indexentry{BoundaryMap|hyperpage}{10}
\indexentry{CliqueComplex|hyperpage}{11}
\indexentry{ConcentricFiltration|hyperpage}{11}
\indexentry{DirectProduct|hyperpage}{11}
\indexentry{FiltrationTerm|hyperpage}{11}
\indexentry{Graph|hyperpage}{12}
\indexentry{HomotopyGraph|hyperpage}{12}
\indexentry{Nerve|hyperpage}{12}
\indexentry{RegularCWComplex|hyperpage}{12}
\indexentry{RegularCWMap|hyperpage}{13}
\indexentry{ThickeningFiltration|hyperpage}{13}
\indexentry{ContractedComplex|hyperpage}{13}
\indexentry{ContractibleSubcomplex|hyperpage}{14}
\indexentry{KnotReflection|hyperpage}{14}
\indexentry{KnotSum|hyperpage}{15}
\indexentry{OrientRegularCWComplex|hyperpage}{15}
\indexentry{PathComponent|hyperpage}{15}
\indexentry{PureComplexBoundary|hyperpage}{15}
\indexentry{PureComplexComplement|hyperpage}{15}
\indexentry{PureComplexDifference|hyperpage}{16}
\indexentry{PureComplexIntersection|hyperpage}{16}
\indexentry{PureComplexThickened|hyperpage}{16}
\indexentry{PureComplexUnion|hyperpage}{16}
\indexentry{SimplifiedComplex|hyperpage}{17}
\indexentry{ZigZagContractedComplex|hyperpage}{17}
\indexentry{AlexanderPolynomial|hyperpage}{17}
\indexentry{BettiNumber|hyperpage}{18}
\indexentry{EulerCharacteristic|hyperpage}{18}
\indexentry{EulerIntegral|hyperpage}{19}
\indexentry{FundamentalGroup|hyperpage}{19}
\indexentry{FundamentalGroupOfQuotient|hyperpage}{19}
\indexentry{IsAspherical|hyperpage}{20}
\indexentry{KnotGroup|hyperpage}{20}
\indexentry{PiZero|hyperpage}{20}
\indexentry{PersistentBettiNumbers|hyperpage}{20}
\indexentry{DendrogramMat|hyperpage}{21}
\indexentry{ChainComplex|hyperpage}{21}
\indexentry{ChainComplexEquivalence|hyperpage}{22}
\indexentry{ChainComplexOfQuotient|hyperpage}{22}
\indexentry{ChainMap|hyperpage}{22}
\indexentry{CochainComplex|hyperpage}{23}
\indexentry{CriticalCells|hyperpage}{23}
\indexentry{DiagonalApproximation|hyperpage}{23}
\indexentry{Size|hyperpage}{24}
\indexentry{FilteredTensorWithInteres|hyperpage}{24}
\indexentry{FilteredTensorWithInteresModP|hyperpage}{24}
\indexentry{HomToIntegers|hyperpage}{25}
\indexentry{TensorWithIntegersModP|hyperpage}{25}
\indexentry{Cohomology|hyperpage}{25}
\indexentry{CupProduct|hyperpage}{26}
\indexentry{Homology|hyperpage}{26}
\indexentry{BarCodeDisplay|hyperpage}{27}
\indexentry{BarCodeCompactDisplay|hyperpage}{27}
\indexentry{CayleyGraphOfGroupDisplay|hyperpage}{27}
\indexentry{Display|hyperpage}{27}
\indexentry{DisplayArcPresentation|hyperpage}{28}
\indexentry{DisplayCSVknotFile|hyperpage}{28}
\indexentry{DisplayDendrogram|hyperpage}{28}
\indexentry{DisplayDendrogramMat|hyperpage}{28}
\indexentry{DisplayPDBfile|hyperpage}{28}
\indexentry{OrbitPolytope|hyperpage}{29}
\indexentry{ScatterPlot|hyperpage}{29}
\indexentry{EquivariantChainMap|hyperpage}{30}
\indexentry{FreeGResolution|hyperpage}{30}
\indexentry{ResolutionBieberbachGroup|hyperpage}{30}
\indexentry{ResolutionCubicalCrystGroup|hyperpage}{30}
\indexentry{ResolutionFiniteGroup|hyperpage}{30}
\indexentry{ResolutionNilpotentGroup|hyperpage}{31}
\indexentry{ResolutionNormalSeries|hyperpage}{31}
\indexentry{ResolutionPrimePowerGroup|hyperpage}{31}
\indexentry{ResolutionSL2Z|hyperpage}{31}
\indexentry{ResolutionSmallGroup|hyperpage}{31}
\indexentry{ResolutionSubgroup|hyperpage}{31}
\indexentry{LeibnizComplex|hyperpage}{31}
\indexentry{HomToIntegers|hyperpage}{32}
\indexentry{HomToIntegralModule|hyperpage}{32}
\indexentry{TensorWithIntegers|hyperpage}{32}
\indexentry{TensorWithIntegersModP|hyperpage}{32}
\indexentry{AreIsomorphicGradedAlgebras|hyperpage}{32}
\indexentry{HAPDerivation|hyperpage}{32}
\indexentry{HilbertPoincareSeries|hyperpage}{33}
\indexentry{HomologyOfDerivation|hyperpage}{33}
\indexentry{IntegralCohomologyGenerators|hyperpage}{33}
\indexentry{LHSSpectralSequence|hyperpage}{33}
\indexentry{LHSSpectralSequenceLastSheet|hyperpage}{33}
\indexentry{ModPCohomologyGenerators|hyperpage}{33}
\indexentry{ModPCohomologyRing|hyperpage}{33}
\indexentry{Mod2CohomologyRingPresentation|hyperpage}{34}
\indexentry{GroupCohomology|hyperpage}{34}
\indexentry{GroupHomology|hyperpage}{35}
\indexentry{PrimePartDerivedFunctor|hyperpage}{35}
\indexentry{PoincareSeries|hyperpage}{35}
\indexentry{PoincareSeries|hyperpage}{35}
\indexentry{RankHomologyPGroup|hyperpage}{36}
\indexentry{GroupAlgebraAsFpGModule|hyperpage}{36}
\indexentry{Radical|hyperpage}{36}
\indexentry{RadicalSeries|hyperpage}{36}
\indexentry{CcGroup|hyperpage}{37}
\indexentry{CocycleCondition|hyperpage}{37}
\indexentry{StandardCocycle|hyperpage}{37}
\indexentry{ActedGRoup|hyperpage}{37}
\indexentry{ActingGRoup|hyperpage}{37}
\indexentry{Centre|hyperpage}{38}
\indexentry{GOuterGroup|hyperpage}{38}
\indexentry{CohomologyModule|hyperpage}{38}
\indexentry{HomToGModule|hyperpage}{38}
\indexentry{ChildCreate|hyperpage}{39}
\indexentry{ChildKill|hyperpage}{39}
\indexentry{TietzeReducedResolution|hyperpage}{40}
\indexentry{ResolutionArithmeticGroup|hyperpage}{40}
\indexentry{FreeGResolution|hyperpage}{41}
\indexentry{ResolutionGTree|hyperpage}{41}
\indexentry{ResolutionSL2Z|hyperpage}{41}
\indexentry{ResolutionAbelianGroup|hyperpage}{41}
\indexentry{ResolutionAlmostCrystalGroup|hyperpage}{42}
\indexentry{ResolutionAlmostCrystalQuotient|hyperpage}{42}
\indexentry{ResolutionArtinGroup|hyperpage}{42}
\indexentry{ResolutionAsphericalPresentation|hyperpage}{42}
\indexentry{ResolutionBieberbachGroup (HAPcryst)|hyperpage}{43}
\indexentry{ResolutionCoxeterGroup|hyperpage}{43}
\indexentry{ResolutionDirectProduct|hyperpage}{43}
\indexentry{ResolutionExtension|hyperpage}{43}
\indexentry{ResolutionFiniteDirectProduct|hyperpage}{44}
\indexentry{ResolutionFiniteExtension|hyperpage}{44}
\indexentry{ResolutionFiniteGroup|hyperpage}{44}
\indexentry{ResolutionFiniteSubgroup|hyperpage}{45}
\indexentry{ResolutionGraphOfGroups|hyperpage}{45}
\indexentry{ResolutionNilpotentGroup|hyperpage}{45}
\indexentry{ResolutionNormalSeries|hyperpage}{46}
\indexentry{ResolutionPrimePowerGroup|hyperpage}{46}
\indexentry{ResolutionSmallFpGroup|hyperpage}{46}
\indexentry{ResolutionSubgroup|hyperpage}{47}
\indexentry{ResolutionSubnormalSeries|hyperpage}{47}
\indexentry{TwistedTensorProduct|hyperpage}{47}
\indexentry{ConjugatedResolution|hyperpage}{47}
\indexentry{RecalculateIncidenceNumbers|hyperpage}{48}
\indexentry{ResolutionFpGModule|hyperpage}{49}
\indexentry{EquivariantChainMap|hyperpage}{50}
\indexentry{ExtendScalars|hyperpage}{51}
\indexentry{HomToIntegers|hyperpage}{51}
\indexentry{HomToIntegersModP|hyperpage}{51}
\indexentry{HomToIntegralModule|hyperpage}{51}
\indexentry{TensorWithIntegralModule|hyperpage}{52}
\indexentry{HomToGModule|hyperpage}{52}
\indexentry{InduceScalars|hyperpage}{52}
\indexentry{LowerCentralSeriesLieAlgebra|hyperpage}{52}
\indexentry{TensorWithIntegers|hyperpage}{52}
\indexentry{FilteredTensorWithIntegers|hyperpage}{53}
\indexentry{TensorWithTwistedIntegers|hyperpage}{53}
\indexentry{TensorWithIntegersModP|hyperpage}{53}
\indexentry{TensorWithTwistedIntegersModP|hyperpage}{53}
\indexentry{TensorWithRationals|hyperpage}{54}
\indexentry{ChainComplex|hyperpage}{55}
\indexentry{ChainComplexOfPair|hyperpage}{55}
\indexentry{ChevalleyEilenbergComplex|hyperpage}{55}
\indexentry{LeibnizComplex|hyperpage}{55}
\indexentry{SuspendedChainComplex|hyperpage}{56}
\indexentry{ReducedSuspendedChainComplex|hyperpage}{56}
\indexentry{CoreducedChainComplex|hyperpage}{56}
\indexentry{TensorProductOfChainComplexes|hyperpage}{56}
\indexentry{LefschetzNumber|hyperpage}{56}
\indexentry{SparseMat|hyperpage}{58}
\indexentry{TransposeOfSparseMat|hyperpage}{58}
\indexentry{ReverseSparseMat|hyperpage}{58}
\indexentry{SparseRowMult|hyperpage}{58}
\indexentry{SparseRowInterchange|hyperpage}{58}
\indexentry{SparseRowAdd|hyperpage}{59}
\indexentry{SparseSemiEchelon|hyperpage}{59}
\indexentry{RankMatDestructive|hyperpage}{59}
\indexentry{RankMat|hyperpage}{59}
\indexentry{SparseChainComplex|hyperpage}{59}
\indexentry{SparseChainComplexOfRegularCWComplex|hyperpage}{59}
\indexentry{SparseBoundaryMatrix|hyperpage}{60}
\indexentry{Bettinumbers|hyperpage}{60}
\indexentry{Cohomology|hyperpage}{61}
\indexentry{CohomologyModule|hyperpage}{61}
\indexentry{CohomologyPrimePart|hyperpage}{61}
\indexentry{GroupCohomology|hyperpage}{62}
\indexentry{GroupHomology|hyperpage}{62}
\indexentry{PersistentHomologyOfQuotientGroupSeries|hyperpage}{63}
\indexentry{PersistentCohomologyOfQuotientGroupSeries|hyperpage}{63}
\indexentry{UniversalBarCode|hyperpage}{64}
\indexentry{PersistentHomologyOfSubGroupSeries|hyperpage}{64}
\indexentry{PersistentHomologyOfFilteredChainComplex|hyperpage}{64}
\indexentry{PersistentHomologyOfFilteredPureCubicalComplex|hyperpage}{65}
\indexentry{PersistentHomologyOfPureCubicalComplex|hyperpage}{65}
\indexentry{ZZPersistentHomologyOfPureCubicalComplex|hyperpage}{65}
\indexentry{RipsHomology|hyperpage}{65}
\indexentry{BarCode|hyperpage}{65}
\indexentry{BarCodeDisplay|hyperpage}{66}
\indexentry{BarCodeCompactDisplay|hyperpage}{66}
\indexentry{Homology|hyperpage}{66}
\indexentry{HomologyPb|hyperpage}{66}
\indexentry{HomologyVectorSpace|hyperpage}{67}
\indexentry{HomologyPrimePart|hyperpage}{67}
\indexentry{LeibnizAlgebraHomology|hyperpage}{67}
\indexentry{LieAlgebraHomology|hyperpage}{67}
\indexentry{PrimePartDerivedFunctor|hyperpage}{67}
\indexentry{RankHomologyPGroup|hyperpage}{68}
\indexentry{RankPrimeHomology|hyperpage}{68}
\indexentry{ExpansionOfRationalFunction|hyperpage}{69}
\indexentry{PoincareSeries|hyperpage}{69}
\indexentry{PoincareSeriesPrimePart|hyperpage}{70}
\indexentry{Prank|hyperpage}{70}
\indexentry{IntegralCupProduct|hyperpage}{71}
\indexentry{IntegralRingGenerators|hyperpage}{71}
\indexentry{ModPCohomologyGenerators|hyperpage}{72}
\indexentry{ModPCohomologyRing|hyperpage}{72}
\indexentry{ModPRingGenerators|hyperpage}{72}
\indexentry{Mod2CohomologyRingPresentation (HAPprime)|hyperpage}{74}
\indexentry{PoincareSeriesLHS (HAPprime)|hyperpage}{74}
\indexentry{BaerInvariant|hyperpage}{76}
\indexentry{BogomolovMultiplier|hyperpage}{76}
\indexentry{Bogomology|hyperpage}{76}
\indexentry{Coclass|hyperpage}{77}
\indexentry{EpiCentre|hyperpage}{77}
\indexentry{NonabelianExteriorProduct|hyperpage}{77}
\indexentry{NonabelianSymmetricKernel|hyperpage}{77}
\indexentry{NonabelianSymmetricSquare|hyperpage}{78}
\indexentry{NonabelianTensorProduct|hyperpage}{78}
\indexentry{NonabelianTensorSquare|hyperpage}{79}
\indexentry{RelativeSchurMultiplier|hyperpage}{79}
\indexentry{TensorCentre|hyperpage}{79}
\indexentry{ThirdHomotopyGroupOfSuspensionB|hyperpage}{80}
\indexentry{UpperEpicentralSeries|hyperpage}{80}
\indexentry{LieCoveringHomomorphism|hyperpage}{81}
\indexentry{LeibnizQuasiCoveringHomomorphism|hyperpage}{81}
\indexentry{LieEpiCentre|hyperpage}{82}
\indexentry{LieExteriorSquare|hyperpage}{82}
\indexentry{LieTensorSquare|hyperpage}{82}
\indexentry{LieTensorCentre|hyperpage}{82}
\indexentry{CayleyGraphOfGroupDisplay|hyperpage}{84}
\indexentry{IdentityAmongRelatorsDisplay|hyperpage}{84}
\indexentry{IsAspherical|hyperpage}{84}
\indexentry{PresentationOfResolution|hyperpage}{85}
\indexentry{TorsionGeneratorsAbelianGroup|hyperpage}{85}
\indexentry{CoxeterComplex|hyperpage}{86}
\indexentry{ContractibleGcomplex|hyperpage}{86}
\indexentry{QuotientOfContractibleGcomplex|hyperpage}{87}
\indexentry{TruncatedGComplex|hyperpage}{87}
\indexentry{FundamentalDomainStandardSpaceGroup (HAPcryst)|hyperpage}{87}
\indexentry{OrbitPolytope|hyperpage}{87}
\indexentry{PolytopalComplex|hyperpage}{88}
\indexentry{PolytopalGenerators|hyperpage}{88}
\indexentry{VectorStabilizer|hyperpage}{89}
\indexentry{CcGroup (HAPcocyclic)|hyperpage}{90}
\indexentry{CocycleCondition|hyperpage}{90}
\indexentry{StandardCocycle|hyperpage}{90}
\indexentry{Syzygy|hyperpage}{90}
\indexentry{AddFreeWords|hyperpage}{92}
\indexentry{AddFreeWordsModP|hyperpage}{92}
\indexentry{AlgebraicReduction|hyperpage}{92}
\indexentry{MultiplyWord|hyperpage}{92}
\indexentry{Negate|hyperpage}{93}
\indexentry{NegateWord|hyperpage}{93}
\indexentry{PrintZGword|hyperpage}{93}
\indexentry{TietzeReduction|hyperpage}{93}
\indexentry{ResolutionBoundaryOfWord|hyperpage}{93}
\indexentry{CompositionSeriesOfFpGModules|hyperpage}{94}
\indexentry{DirectSumOfFpGModules|hyperpage}{94}
\indexentry{FpGModule|hyperpage}{94}
\indexentry{FpGModuleDualBasis|hyperpage}{94}
\indexentry{FpGModuleHomomorphism|hyperpage}{95}
\indexentry{DesuspensionFpGModule|hyperpage}{95}
\indexentry{RadicalOfFpGModule|hyperpage}{95}
\indexentry{RadicalSeriesOfFpGModule|hyperpage}{96}
\indexentry{GeneratorsOfFpGModule|hyperpage}{96}
\indexentry{ImageOfFpGModuleHomomorphism|hyperpage}{96}
\indexentry{GroupAlgebraAsFpGModule|hyperpage}{96}
\indexentry{IntersectionOfFpGModules|hyperpage}{96}
\indexentry{IsFpGModuleHomomorphismData|hyperpage}{96}
\indexentry{MaximalSubmoduleOfFpGModule|hyperpage}{97}
\indexentry{MaximalSubmodulesOfFpGModule|hyperpage}{97}
\indexentry{MultipleOfFpGModule|hyperpage}{97}
\indexentry{ProjectedFpGModule|hyperpage}{97}
\indexentry{RandomHomomorphismOfFpGModules|hyperpage}{97}
\indexentry{Rank|hyperpage}{98}
\indexentry{SumOfFpGModules|hyperpage}{98}
\indexentry{SumOp|hyperpage}{98}
\indexentry{VectorsToFpGModuleWords|hyperpage}{98}
\indexentry{DesuspensionMtxModule|hyperpage}{99}
\indexentry{FpG{\textunderscore}to{\textunderscore}MtxModule|hyperpage}{99}
\indexentry{GeneratorsOfMtxModule|hyperpage}{99}
\indexentry{GOuterGroup|hyperpage}{100}
\indexentry{GOuterGroupHomomorphismNC|hyperpage}{100}
\indexentry{GOuterHomomorphismTester|hyperpage}{100}
\indexentry{Centre|hyperpage}{101}
\indexentry{DirectProductGog|hyperpage}{101}
\indexentry{AutomorphismGroupAsCatOneGroup|hyperpage}{102}
\indexentry{HomotopyGroup|hyperpage}{102}
\indexentry{HomotopyModule|hyperpage}{102}
\indexentry{QuasiIsomorph|hyperpage}{102}
\indexentry{ModuleAsCatOneGroup|hyperpage}{102}
\indexentry{MooreComplex|hyperpage}{103}
\indexentry{NormalSubgroupAsCatOneGroup|hyperpage}{103}
\indexentry{XmodToHAP|hyperpage}{103}
\indexentry{NerveOfCatOneGroup|hyperpage}{104}
\indexentry{EilenbergMacLaneSimplicialGroup|hyperpage}{104}
\indexentry{EilenbergMacLaneSimplicialGroupMap|hyperpage}{104}
\indexentry{MooreComplex|hyperpage}{105}
\indexentry{ChainComplexOfSimplicialGroup|hyperpage}{105}
\indexentry{SimplicialGroupMap|hyperpage}{105}
\indexentry{HomotopyGroup|hyperpage}{105}
\indexentry{Bar Resolution|hyperpage}{105}
\indexentry{BarResolutionBoundary|hyperpage}{106}
\indexentry{BarResolutionHomotopy|hyperpage}{106}
\indexentry{Bar Complex|hyperpage}{106}
\indexentry{BarComplexBoundary|hyperpage}{107}
\indexentry{BarResolutionEquivalence|hyperpage}{107}
\indexentry{BarComplexEquivalence|hyperpage}{107}
\indexentry{Bar Cocomplex|hyperpage}{108}
\indexentry{BarCocomplexCoboundary|hyperpage}{108}
\indexentry{CoxeterDiagramComponents|hyperpage}{109}
\indexentry{CoxeterDiagramDegree|hyperpage}{109}
\indexentry{CoxeterDiagramDisplay|hyperpage}{109}
\indexentry{CoxeterDiagramFpArtinGroup|hyperpage}{109}
\indexentry{CoxeterDiagramFpCoxeterGroup|hyperpage}{109}
\indexentry{CoxeterDiagramIsSpherical|hyperpage}{110}
\indexentry{CoxeterDiagramMatrix|hyperpage}{110}
\indexentry{CoxeterSubDiagram|hyperpage}{110}
\indexentry{CoxeterDiagramVertices|hyperpage}{110}
\indexentry{EvenSubgroup|hyperpage}{110}
\indexentry{GraphOfGroupsDisplay|hyperpage}{110}
\indexentry{GraphOfResolutions|hyperpage}{111}
\indexentry{GraphOfGroups|hyperpage}{111}
\indexentry{GraphOfResolutionsDisplay|hyperpage}{111}
\indexentry{GraphOfGroupsTest|hyperpage}{111}
\indexentry{TreeOfGroupsToContractibleGcomplex|hyperpage}{111}
\indexentry{TreeOfResolutionsToContractibleGcomplex|hyperpage}{112}
\indexentry{RigidFacetsSubdivision|hyperpage}{113}
\indexentry{IsPNormal|hyperpage}{113}
\indexentry{TorsionSubcomplex|hyperpage}{113}
\indexentry{DisplayAvailableCellComplexes|hyperpage}{113}
\indexentry{VisualizeTorsionSkeleton|hyperpage}{113}
\indexentry{ReduceTorsionSubcomplex|hyperpage}{113}
\indexentry{EquivariantEulerCharacteristic|hyperpage}{113}
\indexentry{CountingCellsOfACellComplex|hyperpage}{113}
\indexentry{CountingControlledSubdividedCells|hyperpage}{113}
\indexentry{CountingBaryCentricSubdividedCells|hyperpage}{113}
\indexentry{EquivariantSpectralSequencePage|hyperpage}{113}
\indexentry{ExportHapCellcomplexToDisk|hyperpage}{113}
\indexentry{Bettinumbers|hyperpage}{114}
\indexentry{CechComplexOfPureCubicalComplex|hyperpage}{115}
\indexentry{PureComplexToSimplicialComplex|hyperpage}{115}
\indexentry{RipsChainComplex|hyperpage}{115}
\indexentry{VectorsToSymmetricMatrix|hyperpage}{115}
\indexentry{EulerCharacteristic|hyperpage}{115}
\indexentry{MaximalSimplicesToSimplicialComplex|hyperpage}{116}
\indexentry{SkeletonOfSimplicialComplex|hyperpage}{116}
\indexentry{GraphOfSimplicialComplex|hyperpage}{116}
\indexentry{ContractibleSubcomplexOfSimplicialComplex|hyperpage}{116}
\indexentry{PathComponentsOfSimplicialComplex|hyperpage}{116}
\indexentry{QuillenComplex|hyperpage}{116}
\indexentry{SymmetricMatrixToIncidenceMatrix|hyperpage}{117}
\indexentry{IncidenceMatrixToGraph|hyperpage}{117}
\indexentry{CayleyGraphOfGroup|hyperpage}{117}
\indexentry{PathComponentsOfGraph|hyperpage}{117}
\indexentry{ContractGraph|hyperpage}{117}
\indexentry{GraphDisplay|hyperpage}{118}
\indexentry{SimplicialMap|hyperpage}{118}
\indexentry{SimplicialMapNC|hyperpage}{118}
\indexentry{ChainMapOfSimplicialMap|hyperpage}{118}
\indexentry{SimplicialNerveOfGraph|hyperpage}{118}
\indexentry{ArrayToPureCubicalComplex|hyperpage}{119}
\indexentry{PureCubicalComplex|hyperpage}{119}
\indexentry{FramedPureCubicalComplex|hyperpage}{119}
\indexentry{RandomCubeOfPureCubicalComplex|hyperpage}{119}
\indexentry{PureCubicalComplexIntersection|hyperpage}{120}
\indexentry{PureCubicalComplexUnion|hyperpage}{120}
\indexentry{PureCubicalComplexDifference|hyperpage}{120}
\indexentry{ReadImageAsPureCubicalComplex|hyperpage}{120}
\indexentry{ReadLinkImageAsPureCubicalComplex|hyperpage}{120}
\indexentry{ReadImageSequenceAsPureCubicalComplex|hyperpage}{121}
\indexentry{WritePureCubicalComplexAsImage|hyperpage}{121}
\indexentry{ViewPureCubicalComplex|hyperpage}{121}
\indexentry{Homology|hyperpage}{121}
\indexentry{Bettinumbers|hyperpage}{122}
\indexentry{DirectProductOfPureCubicalComplexes|hyperpage}{122}
\indexentry{SuspensionOfPureCubicalComplex|hyperpage}{122}
\indexentry{PathComponentOfPureCubicalComplex|hyperpage}{122}
\indexentry{ChainInclusionOfPureCubicalPair|hyperpage}{123}
\indexentry{ChainMapOfPureCubicalPairs|hyperpage}{123}
\indexentry{ContractPureCubicalComplex|hyperpage}{123}
\indexentry{ContractedComplex|hyperpage}{124}
\indexentry{ZigZagContractedPureCubicalComplex|hyperpage}{124}
\indexentry{ContractCubicalComplex|hyperpage}{124}
\indexentry{DVFReducedCubicalComplex|hyperpage}{124}
\indexentry{SkeletonOfCubicalComplex|hyperpage}{124}
\indexentry{ContractibleSubomplexOfPureCubicalComplex|hyperpage}{124}
\indexentry{AcyclicSubomplexOfPureCubicalComplex|hyperpage}{125}
\indexentry{HomotopyEquivalentMaximalPureCubicalSubcomplex|hyperpage}{125}
\indexentry{HomotopyEquivalentMinimalPureCubicalSubcomplex|hyperpage}{125}
\indexentry{BoundaryOfPureCubicalComplex|hyperpage}{125}
\indexentry{SingularitiesOfPureCubicalComplex|hyperpage}{125}
\indexentry{ThickenedPureCubicalComplex|hyperpage}{126}
\indexentry{CropPureCubicalComplex|hyperpage}{126}
\indexentry{BoundingPureCubicalComplex|hyperpage}{126}
\indexentry{MorseFiltration|hyperpage}{126}
\indexentry{ComplementOfPureCubicalComplex|hyperpage}{126}
\indexentry{PureCubicalComplexToTextFile|hyperpage}{127}
\indexentry{ThickeningFiltration|hyperpage}{127}
\indexentry{Dendrogram|hyperpage}{127}
\indexentry{DendrogramDisplay|hyperpage}{127}
\indexentry{DendrogramToPersistenceMat|hyperpage}{127}
\indexentry{ReadImageAsFilteredPureCubicalComplex|hyperpage}{127}
\indexentry{ComplementOfFilteredPureCubicalComplex|hyperpage}{128}
\indexentry{PersistentHomologyOfFilteredPureCubicalComplex|hyperpage}{128}
\indexentry{SimplicialComplexToRegularCWComplex|hyperpage}{129}
\indexentry{CubicalComplexToRegularCWComplex|hyperpage}{129}
\indexentry{CriticalCellsOfRegularCWComplex|hyperpage}{129}
\indexentry{ChainComplex|hyperpage}{129}
\indexentry{ChainComplexOfRegularCWComplex|hyperpage}{129}
\indexentry{FundamentalGroup|hyperpage}{129}
\indexentry{FundamentalGroupOfRegularCWComplex|hyperpage}{129}
\indexentry{PureCubicalKnot|hyperpage}{130}
\indexentry{ViewPureCubicalKnot|hyperpage}{130}
\indexentry{KnotSum|hyperpage}{130}
\indexentry{KnotGroup|hyperpage}{130}
\indexentry{AlexanderMatrix|hyperpage}{130}
\indexentry{AlexanderPolynomial|hyperpage}{130}
\indexentry{ProjectionOfPureCubicalComplex|hyperpage}{130}
\indexentry{ReadPDBfileAsPureCubicalComplex|hyperpage}{130}
\indexentry{PresentationKnotQuandle|hyperpage}{131}
\indexentry{PD2GC|hyperpage}{131}
\indexentry{PlanarDiagramKnot|hyperpage}{131}
\indexentry{GaussCodeKnot|hyperpage}{131}
\indexentry{PresentationKnotQuandleKnot|hyperpage}{131}
\indexentry{NumberOfHomomorphisms|hyperpage}{131}
\indexentry{PartitionedNumberOfHomomorphisms|hyperpage}{131}
\indexentry{ConjugationQuandle|hyperpage}{131}
\indexentry{QuandleAxiomIsSatisfied|hyperpage}{131}
\indexentry{IsQuandle|hyperpage}{131}
\indexentry{Quandles|hyperpage}{131}
\indexentry{Quandle|hyperpage}{131}
\indexentry{IdQuandle|hyperpage}{131}
\indexentry{IsLatin|hyperpage}{131}
\indexentry{IsConnectedQuandle|hyperpage}{131}
\indexentry{ConnectedQuandles|hyperpage}{131}
\indexentry{ConnectedQuandle|hyperpage}{131}
\indexentry{IdConnectedQuandle|hyperpage}{131}
\indexentry{IsQuandleEnvelope|hyperpage}{131}
\indexentry{QuandleQuandleEnveloppe|hyperpage}{131}
\indexentry{KnotInvariantCedric|hyperpage}{131}
\indexentry{RightMultiplicationGroupAsPerm|hyperpage}{131}
\indexentry{RightMultiplicationGroup|hyperpage}{131}
\indexentry{AutomorphismGroupQuandleAsPerm|hyperpage}{131}
\indexentry{AutomorphismGroupQuandle|hyperpage}{131}
\indexentry{CayleyMetric|hyperpage}{132}
\indexentry{HammingMetric|hyperpage}{132}
\indexentry{KendallMetric|hyperpage}{132}
\indexentry{EuclideanSquaredMetric|hyperpage}{132}
\indexentry{EuclideanApproximatedMetric|hyperpage}{132}
\indexentry{ManhattanMetric|hyperpage}{132}
\indexentry{VectorsToSymmetricMatrix|hyperpage}{132}
\indexentry{SymmetricMatDisplay|hyperpage}{132}
\indexentry{SymmetricMatrixToFilteredGraph|hyperpage}{132}
\indexentry{PermGroupToFilteredGraph|hyperpage}{132}
\indexentry{HomomorphismChainToCommutativeDiagram|hyperpage}{133}
\indexentry{NormalSeriesToQuotientDiagram|hyperpage}{133}
\indexentry{NerveOfCommutativeDiagram|hyperpage}{133}
\indexentry{GroupHomologyOfCommutativeDiagram|hyperpage}{134}
\indexentry{PersistentHomologyOfCommutativeDiagramOfPGroups|hyperpage}{134}
\indexentry{CategoricalEnrichment|hyperpage}{134}
\indexentry{IdentityArrow|hyperpage}{134}
\indexentry{InitialArrow|hyperpage}{134}
\indexentry{TerminalArrow|hyperpage}{135}
\indexentry{HasInitialObject|hyperpage}{135}
\indexentry{HasTerminalObject|hyperpage}{135}
\indexentry{Source|hyperpage}{135}
\indexentry{Target|hyperpage}{135}
\indexentry{CategoryName|hyperpage}{135}
\indexentry{Object|hyperpage}{136}
\indexentry{Mapping|hyperpage}{136}
\indexentry{IsCategoryObject|hyperpage}{136}
\indexentry{IsCategoryArrow|hyperpage}{136}
\indexentry{Array|hyperpage}{137}
\indexentry{PermuteArray|hyperpage}{137}
\indexentry{ArrayDimension|hyperpage}{137}
\indexentry{ArrayDimensions|hyperpage}{137}
\indexentry{ArraySum|hyperpage}{137}
\indexentry{ArrayValue|hyperpage}{138}
\indexentry{ArrayValueFunctions|hyperpage}{138}
\indexentry{ArrayAssign|hyperpage}{138}
\indexentry{ArrayAssignFunctions|hyperpage}{138}
\indexentry{ArrayIterate|hyperpage}{138}
\indexentry{BinaryArrayToTextFile|hyperpage}{138}
\indexentry{FrameArray|hyperpage}{139}
\indexentry{UnframeArray|hyperpage}{139}
\indexentry{Add|hyperpage}{139}
\indexentry{Append|hyperpage}{139}
\indexentry{ListToPseudoList|hyperpage}{139}
\indexentry{ChildProcess|hyperpage}{141}
\indexentry{ChildClose|hyperpage}{141}
\indexentry{ChildCommand|hyperpage}{142}
\indexentry{NextAvailableChild|hyperpage}{142}
\indexentry{IsAvailableChild|hyperpage}{142}
\indexentry{ChildPut|hyperpage}{142}
\indexentry{ChildGet|hyperpage}{142}
\indexentry{HAPPrintTo|hyperpage}{142}
\indexentry{HAPRead|hyperpage}{143}
\indexentry{ChildFunction|hyperpage}{144}
\indexentry{ChildRead|hyperpage}{144}
\indexentry{ChildReadEval|hyperpage}{144}
\indexentry{ParallelList|hyperpage}{144}
\indexentry{BoundaryMap|hyperpage}{145}
\indexentry{BoundaryMatrix|hyperpage}{145}
\indexentry{Dimension|hyperpage}{145}
\indexentry{EvaluateProperty|hyperpage}{145}
\indexentry{GroupOfResolution|hyperpage}{146}
\indexentry{Length|hyperpage}{146}
\indexentry{Map|hyperpage}{146}
\indexentry{Source|hyperpage}{146}
\indexentry{Target|hyperpage}{146}
\indexentry{SL2Z|hyperpage}{147}
\indexentry{BigStepLCS|hyperpage}{147}
\indexentry{Classify|hyperpage}{147}
\indexentry{RefineClassification|hyperpage}{147}
\indexentry{Compose(f,g)|hyperpage}{148}
\indexentry{HAPcopyright|hyperpage}{148}
\indexentry{IsLieAlgebraHomomorphism|hyperpage}{148}
\indexentry{IsSuperperfect|hyperpage}{148}
\indexentry{MakeHAPManual|hyperpage}{148}
\indexentry{PermToMatrixGroup|hyperpage}{148}
\indexentry{SolutionsMatDestructive|hyperpage}{149}
\indexentry{LinearHomomorphismsPersistenceMat|hyperpage}{149}
\indexentry{NormalSeriesToQuotientHomomorphisms|hyperpage}{149}
\indexentry{TestHap|hyperpage}{149}