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OverviewThe 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. Full Product DetailsAuthor: Hajime SatoPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 183 Weight: 0.180kg ISBN: 9780821810460ISBN 10: 0821810464 Pages: 265 Publication Date: 30 March 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsObjectives Homeomorphisms and homotopy equivalences Topological spaces and cell complexes Fundamental groups and higher homotopy groups Homology Homology groups of cell complexes Cohomology Homology of product spaces and the universal coefficient theorem Fiber bundles and vector bundles Spectral sequences A view from current mathematics Appendix Answers to exercises Recommended reading Index.Reviewsoa SatoAEs book is a gem, and I am happy to recommend it in very enthusiastic terms.o -- MAA ... Sato's book is a gem, and I am happy to recommend it in very enthusiastic terms. -- MAA Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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