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Algebraic topology

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. T...

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Detalles Bibliográficos
Autor principal: Sato, Hajime
Lenguaje:eng
Publicado: American Mathematical Society 1999
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/2754406
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author Sato, Hajime
author_facet Sato, Hajime
author_sort Sato, Hajime
collection CERN
description 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 M bius strip, the Klein bottle, closed surfaces, cell complexes and vector bundles.
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spelling cern-27544062021-04-21T16:43:27Zhttp://cds.cern.ch/record/2754406engSato, HajimeAlgebraic topologyXXThe 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 M bius strip, the Klein bottle, closed surfaces, cell complexes and vector bundles.American Mathematical Societyoai:cds.cern.ch:27544061999
spellingShingle XX
Sato, Hajime
Algebraic topology
title Algebraic topology
title_full Algebraic topology
title_fullStr Algebraic topology
title_full_unstemmed Algebraic topology
title_short Algebraic topology
title_sort algebraic topology
topic XX
url http://cds.cern.ch/record/2754406
work_keys_str_mv AT satohajime algebraictopology