成功加入购物车
[德] 科兹洛夫 (Kozlov D) 著 / 科学出版社 / 2011-06 / 精装
售价 ¥ 110.00
品相 九品
上书时间2021-08-29
组合代数拓扑
《组合代数拓扑》是Springer的AlgorithmsandComputationinMathematics丛书系列第21卷,作者多年来从事离散数学,代数拓扑,理论计算机科学。组合代数拓扑是代数拓扑和离散数学的交叉。属于"反映学术前沿进展的优秀学术著作"这一类。比较专门,《组合代数拓扑》的读者可以是几何,拓扑和代数方向的数学工作者和研究生。
1OverturePartIConceptsofAlgebraicTopology2CellComplexes2.1AbstractSimplicialComplexes2.1.1DefinitionofAbstractSimplicialComplexesandMapsBetweenThem2.1.2Deletion,Link,Star,andWedge2.1.3SimplicialJoin2.1.4FacePosets2.1.5BarycentricandStellarSubdivisions2.1.6PullingandPushingSimplicialStructures2.2PolyhedralComplexes2.2.1GeometryofAbstractSimplicialComplexes2.2.2GeometricMeaningoftheCombinatorialConstructions2.2.3GeometricSimplicialComplexes2.2.4ComplexesWhoseCellsBelongtoaSpecifiedSetofPolyhedra2.3Trisps2.3.1ConstructionUsingtheGluingData2.3.2ConstructionsInvolvingTrisps2.4CWComplexes2.4.1GluingAlongaMap2.4.2ConstructiveandIntrinsicDefinitions2.4.3PropertiesandExamples3HomologyGroups3.1BettiNumbersofFiniteAbstractSimplicialComplexes3.2SimplicialHomologyGroupsXContents3.2.1HomologyGroupsofTrispswithCoefficientsinZ23.2.2Orientations3.2.3HomologyGroupsofTrispswithIntegerCoefficients3.3InvariantsConnectedtoHomologyGroups3.3.1BettiNumbersandTorsionCoefficients3.3.2EulerCharacteristicandtheEuler-Poincar6Fc'rmula3.4Variations3.4.1AugmentationandReducedHomologyGroups3.4.2HomologyGroupswithOtherCoefficients3.4.3SimplicialCohomologyGroups3.4.4SingularHomology3.5ChainComplexes3.5.1DefinitionandHomologyofChainComplexes3.5.2MapsBetweenChainComplexesandInducedMapsonHomology3.5.3ChainHomotopy3.5.4SimplicialHomologyandCohomologyintheContextofChainComplexes3.5.5HomomorphismsonHomologyInducedbyTrispMaps3.6CellularHomology3.6.1AnApplicationofHomologywithIntegerCoefficients:WindingNumber3.6.2TheDefinitionofCellularHomology3.6.3CellularMapsandPropertiesofCellularHomology4ConceptsofCategoryTheory4.1TheNotionofaCategory4.1.1DefinitionofaCategory.Isomorphisms4.1.2ExamplesofCategories4.2SomeStructureTheoryofCategories4.2.1InitialandTerminalObjects4.2.2ProductsandCoproducts4.3Functors4.3.1TheCategoryCat4.3.2HomologyandCohomologyViewedasFunctors4.3.3GroupActionsasFunctors4.4LimitC0nstructions4.4.1DefinitionofColimitofaFunctor4.4.2ColimitsandInfiniteUnions4.4.3QuotientsofGroupActionsasColimits4.4.4Limits4.5CommaCategories4.5.1ObjectsBelowandAboveOtherObjects4.5.2TheGeneralConstructionandFurtherExamples……PartⅡMethodsofCombinatorialAlgebraicTopologyPartⅢComplexesofGraphHomomorphismsReferencesIndex
展开全部
配送说明
...
相似商品
为你推荐
开播时间:09月02日 10:30