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Rational homotopy theory and differential forms

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...

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Detalles Bibliográficos
Autores principales: Griffiths, Phillip, Morgan, John
Lenguaje:eng
Publicado: Springer 2013
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-1-4614-8468-4
http://cds.cern.ch/record/1625542
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author Griffiths, Phillip
Morgan, John
author_facet Griffiths, Phillip
Morgan, John
author_sort Griffiths, Phillip
collection CERN
description 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.  New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma*Presentation of a natu
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spelling cern-16255422021-04-21T21:41:57Zdoi:10.1007/978-1-4614-8468-4http://cds.cern.ch/record/1625542engGriffiths, PhillipMorgan, JohnRational homotopy theory and differential formsMathematical Physics and MathematicsThis 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.  New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma*Presentation of a natuSpringeroai:cds.cern.ch:16255422013
spellingShingle Mathematical Physics and Mathematics
Griffiths, Phillip
Morgan, John
Rational homotopy theory and differential forms
title Rational homotopy theory and differential forms
title_full Rational homotopy theory and differential forms
title_fullStr Rational homotopy theory and differential forms
title_full_unstemmed Rational homotopy theory and differential forms
title_short Rational homotopy theory and differential forms
title_sort rational homotopy theory and differential forms
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-1-4614-8468-4
http://cds.cern.ch/record/1625542
work_keys_str_mv AT griffithsphillip rationalhomotopytheoryanddifferentialforms
AT morganjohn rationalhomotopytheoryanddifferentialforms