出版社：科学出版社
年代：2008
定价：88.0
本书是一本非常有价值的专著/教科书，无其他书可替代。既给出了最基本的原始思想，又逐步深入直至最新的发展。这是一本内容非常全面的参考书，且该书的作者是该领域的权威。
Ⅰ.SimplicialSets
Ⅰ.1TriangulatedSpaces
Ⅰ.2SimplicialSets
Ⅰ.3SimplicialTopologicalSpacesandtheEilenberg-ZilberTheorem
Ⅰ.4HomologyandCohmology
Ⅰ.5Sheaves
Ⅰ.6TheExactSequence
Ⅰ.7Complexes
Ⅱ.MainNotionsoftheCategoryTheory
Ⅱ.1TheLanguageofCategoriesandFunctors
Ⅱ.2CategoriesandStructures,EquivalenceofCategories
Ⅱ.3StructuresandCategories.RepresentableFunctors
Ⅱ.4CategoryApproachtotheConstructionofGeometricalObjects
Ⅱ.5AdditiveandAbelianCategories
Ⅱ.6FunctorsinAbelianCategories
Ⅲ.DerivedCategoriesandDerivedFunctors
Ⅲ.1ComplexesasGeneralizedObjects
Ⅲ.2DerivedCategoriesandLocalization
Ⅲ.3TrianglesasGeneralizedExactTriples
Ⅲ.4DerivedCategoryastheLocalizationofHomotopicCategory
Ⅲ.5TheStructureoftheDerivedCategory
Ⅲ.6DerivedFunctors
Ⅲ.7DerivedFunctoroftheComposition.SpectralSequence
Ⅲ.8SheafCohomology
Ⅳ.TriangulatedCategories
Ⅳ.1TriangulatedCategories
Ⅳ.2DerivedCategoriesAreTriangulated
Ⅳ.3AnExample:TheTriangulatedCategoryofA-Modules
Ⅳ.4Cores
Ⅴ.IntroductiontoHomotopicAlgebra
Ⅴ.1ClosedModelCategories
Ⅴ.2HomotopicCharacterizationofWeakEquivalences.
Ⅴ.3DG-AlgebrasasaClosedModelCategory
Ⅴ.4MinimalAlgebras
Ⅴ.5EquivalenceofHomotopyCategories
References
Index
Inthesecondeditionofourbook,manyofthetypos,errors,andimprecisestatementsthatfoundtheirwayintothefirstedition,arecorrected.TheauthorsareextremelygratefultoProfessorSergeiMerkulovwhotookuponhimselfthedifficulttaskofcarefullyreadingthetextandincorporatingappropriatechanges.Withouthisefforts,mostoftheerrorsinthefirsteditionwouldprobablyhaveremainedunnoticed.Ofcourse,theauthorsretainfullresponsibilityforanymistakesthatmaystillremaininthetext. Homologicalalgebrafirstaroseasalanguagefordescribingtopologicalprospectsofgeometricalobjects.Aswitheverysuccessfullanguageitquicklyexpandeditscoverageandsemantics,anditscontemporaryapplicationsaremanyanddiverse.Thismodernapproachtohomologicalalgebra,bytwoleadingwritersinthefield,isbasedonthesystematicuseofthelanguageandideasofderivedcategoriesandderivedfunctors.Relationswithstandardcohomologytheory(sheafcohomology,spectralsequences,etc.)aredescribed.Inmostcasescompleteproofsaregiven.Basicconceptsandresultsofhomotopicalalgebraarealsopresented.Thebookaddressespeoplewhowanttolearnamodernapproachtohomologicalalgebraandtouseitintheirwork.Forthesecondeditiontheauthorshavemadenumerouscorrections.
| 书籍详细信息 | |||
| 书名 | 同调代数方法：第2版站内查询相似图书 | ||
| 丛书名 | 国外数学名著系列 | ||
| 9787030234810 如需购买下载《同调代数方法：第2版》pdf扫描版电子书或查询更多相关信息，请直接复制isbn,搜索即可全网搜索该ISBN | |||
| 出版地 | 北京 | 出版单位 | 科学出版社 |
| 版次 | 影印本 | 印次 | 1 |
| 定价(元) | 88.0 | 语种 | 英文 |
| 尺寸 | 24 | 装帧 | 精装 |
| 页数 | 印数 | ||
(美) 罗特曼 (Rotman,J.J.) , 著
(法) 嘉当, 著
周伯壎, 著
南基洙, 王颖, 编著
(美) 韦伯尔 (Weibel,C.A.) , 著
李克正, 著
(美) 维奇 (Vick,J.W.) , 编
陈媛, 著
(德) J·诺伊基希 (J·Neukirch) , (德) A·施密特 (A·Schmidt) , (德) K·温伯格 (K·Wingberg) , 著