同调论：An Introduction to Algebraic Topology

图书标准信息

• 作者 [美]维奇（Vick J.W.） 著
• 出版社 世界图书出版公司
• 出版时间 2012-08
• 版次 2
• ISBN 9787510046315
• 定价 39.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 242页
• 正文语种 英语
• 原版书名 Homology Theory

【内容简介】

The20yearssincethepublicationofthisbookhavebeenaneraofcontinuinggrowthanddevelopmentinthefieldofalgebraictopology。Newgenerationsofyoungmathematicianshavebeentrained，andclassicalproblemshavebeensolved，particularlythroughtheapplicationofgeometryandknottheory。Diversenewresourcesforintroductorycourseworkhaveappeared，butthereispersistentinterestinanintuitivetreatmentofthebasicideas。
Thissecondeditionhasbeenexpandedthroughtheadditionofachapteroncoveringspaces。Byanalysisoftheliftingproblemitintroducesthefundamentalgroupandexploresitsproperties，includingVanKampen’sTheoremandtherelationshipwiththefirsthomologygroup。Ithasbeeninsertedafterthethirdchaptersinceitusessomedefinitionsandresultsincludedpriortothatpoint。However，muchofthematerialisdirectlyaccessiblefromthesamebackgroundasChapter1，sotherewouldbesomeflexibilityinhowthesetopicsareintegratedintoacourse。
TheBibliographyhasbeensupplementedbytheadditionofselectedbooksandhistoricalarticlesthathaveappearedsince1973。

【目录】

PrefacetotheSecondEdition
PrefacetotheFirstEdition
Acknowledgments

CHAPTER1
SingularHomologyTheory

CHAPTER2
AttachingSpaceswithMaps

CHAPTFR3
TheEilenbcrg-SteenrodAxioms

CHAPTER4
CoveringSpaces

CHAPTER5
Products

CHAPTER6
ManifoldsandPoincareDuality

CHAPTER7
Fixed-PointTheory

AppendixⅠ
AppendixⅡ

References

Bibliography
BooksandHistoricalArticlesSince1973
BooksandNotes
SurveyandExpositoryArticles
Index