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Item Details
Title: ALGEBRAIC TOPOLOGY
AN INTUITIVE APPROACH
By: Hajime Sato
Format: Paperback

List price: £45.95


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ISBN 10: 0821810464
ISBN 13: 9780821810460
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 February, 1999
Series: Translations of Mathematical Monographs No. 183
Pages: 265
Description: Covers topics including fundamental notions such as homeomorphisms, homotopy equivalence, fundamental groups and higher homotopy groups, homology and cohomology, fiber bundles, spectral sequences and characteristic classes. This work considers objects and examples including the torus, the Mobius strip, the Klein bottle and closed surfaces.
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.
Illustrations: index
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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