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Elements of algebraic topology / James R. Munkres

Auteur principal : Munkres, James Raymond, 1930-, AuteurType de document : MonographieLangue : anglais.Pays : Etats Unis.Éditeur : Redwood City : Addison-Wesley, 1984Description : 1 vol. (IX-454 p.) : fig. ; 24 cmISBN : 9780201045864.Bibliographie : Bibliogr. p. 447-448. Index.Sujet MSC : 55-01, Algebraic topology, Instructional exposition (textbooks, tutorial papers, etc.)
55N10, Algebraic topology -- Homology and cohomology theories, Singular theory
55Mxx, Algebraic topology, Classical topics
En-ligne : Zentralblatt | MathSciNet
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55 MUN (Browse shelf) Available 09294-01

This book is, as the author says, a text for a first year graduate course in algebraic topology. The list of contents is traditional for such a course: simplicial and singular homology (later extended to relative homology and cohomology, with cup products); simplicial approximation; some use of acyclic models, a little homological algebra, and a final chapter on duality with a brief mention of Čech theory. The book has grown out of lectures given many times: indeed the content of the course is almost exactly what used to be given 30 years ago. Thus proofs are all presented with great attention to detail; the geometrical illustrations are the traditional ones (surfaces, spheres, projective spaces, lens spaces)... (Zentralblatt)

Bibliogr. p. 447-448. Index

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