On Pl Derham Theory And Rational Homotopy Type
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On Pl Derham Theory And Rational Homotopy Type
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Author : Aldridge Knight Bousfield
language : en
Publisher: American Mathematical Soc.
Release Date : 1976
On Pl Derham Theory And Rational Homotopy Type written by Aldridge Knight Bousfield and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
The rational [bold]PL de Rham theory of Sullivan is developed and generalized, using methods of Quillen's "homotopical algebra." For a field k of characteristic 0, a pair of contravariant adjoint functors A : (Simplicial sets) [right arrow over left arrow] (Commutative DG k-algebras) : F is obtained which pass to the appropriate homotopy categories. When k is the field of rationals, these functors induce equivalence between the appropriate simplicial and algebraic rational homotopy categories. The theory is not restricted to simply connected spaces. It is closely related to the theory of "rational localization" (for nilpotent spaces) and "rational completion" in general.
On Pl De Rham Theory And Rational Homotopy Type
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Author : Aldridge Knight Bousfield
language : en
Publisher:
Release Date : 1976
On Pl De Rham Theory And Rational Homotopy Type written by Aldridge Knight Bousfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Algebra, Homological categories.
Rational Homotopy Theory And Differential Forms
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Author : Phillip Griffiths
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-02
Rational Homotopy Theory And Differential Forms written by Phillip Griffiths and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-02 with Mathematics categories.
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 natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.
Handbook Of Algebraic Topology
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Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1995-07-18
Handbook Of Algebraic Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-18 with Mathematics categories.
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Algebraic Topology
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Author : P. Hoffman
language : en
Publisher: Springer
Release Date : 2006-11-15
Algebraic Topology written by P. Hoffman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Singularities
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Singularities written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Covers the proceedings of the Institute for Mathematics and its Applications Participating Institutions Conference on Singularities, held at the University of Iowa in July 1986. Suitable for researchers in various aspects of singularity theory, this work provides an overview of the state of singularity theory and details work in several subareas.
Rational Homotopy Theory Draft Version 96 2
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Author : Steve Halperin
language : en
Publisher:
Release Date : 1996
Rational Homotopy Theory Draft Version 96 2 written by Steve Halperin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Torus Actions On The Rational Homotopy Product Of Odd Spheres
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Author : Nicolas Michael Ercolani
language : en
Publisher:
Release Date : 1980
Torus Actions On The Rational Homotopy Product Of Odd Spheres written by Nicolas Michael Ercolani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Pacific Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1999
Pacific Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Rational Homotopy Theory Ii
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Author : Yves Félix
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2015
Rational Homotopy Theory Ii written by Yves Félix and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
Sequel to Rational homotopy theory (2001), but self contained--Introduction, following table of contents.