Algebraic Topology: An Intuitive Approach: 183 (Translations of Mathematical Monographs) - Softcover

Sato, Hajime

Softcover

ISBN 10: 0821810464 ISBN 13: 9780821810460

Publisher: American Mathematical Society, 1999

Synopsis

The single most difficult thing one faces when one begins to learn a new branch of mathematics is to get a feel for the mathematical sense of the subject. The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. To this end, Sato leads the reader through simple but meaningful examples in concrete terms. Moreover, results are not discussed in their greatest possible generality, but in terms of the simplest and most essential cases. In response to suggestions from readers of the original edition of this book, Sato has added an appendix of useful definitions and results on sets, general topology, groups and such. He has also provided references.Topics covered include fundamental notions such as homeomorphisms, homotopy equivalence, fundamental groups and higher homotopy groups, homology and cohomology, fiber bundles, spectral sequences and characteristic classes. Objects and examples considered in the text include the torus, the Mobius strip, the Klein bottle, closed surfaces, cell complexes and vector bundles.

About this title

Review

“... Sato’s book is a gem, and I am happy to recommend it in very enthusiastic terms.”
-- MAA

Edition details

• Publisher: American Mathematical Society
• Publication date: 1999
• Language: English
• ISBN 10: 0821810464
• ISBN 13: 9780821810460
• Binding: Paperback
• Number of pages: 265