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Overview"This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, homology and cohomology, intersection index, etc. The author notes, ""The lecture note origins of the book left a significant imprint on its style. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs."" He concludes, ""As a rule, only those proofs (or sketches of proofs) that are interesting per se and have important generalizations are presented.""" Full Product DetailsAuthor: V. A. VassilievPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 14 Dimensions: Width: 14.00cm , Height: 0.90cm , Length: 21.60cm Weight: 0.207kg ISBN: 9780821821626ISBN 10: 0821821628 Pages: 149 Publication Date: 30 March 2001 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsTopological spaces and operations with them Homotopy groups and homotopy equivalence Coverings Cell spaces ($CW$-complexes) Relative homotopy groups and the exact sequence of a pair Fiber bundles Smooth manifolds The degree of a map Homology: Basic definitions and examples main properties of singular homology groups and their computation Homology of cell spaces Morse theory Cohomology and Poincare duality Some applications of homology theory Multiplication in cohomology (and homology) Index of notations Subject index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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