This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented.
...Tabella dei contenuti
1 Introduction.- 2 Basic Concepts.- 3 CW Homology Theorem.- 4 The Whitehead Theorem and the Hurewicz Theorem.- 5 Spectral Sequence of a Fibration.- 6 O...
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Lingua Inglese ● Formato PDF ● Pagine 227 ● ISBN 9781461484684 ● Dimensione 1.8 MB ● Casa editrice Springer New York ● Città NY ● Paese US ● Pubblicato 2013 ● Edizione 2 ● Scaricabile 24 mesi ● Moneta EUR ● ID 2835848 ● Protezione dalla copia DRM sociale