The Homology Of Hopf Spaces

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The Homology Of Hopf Spaces

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Author : R.M. Kane
language : en
Publisher: North Holland
Release Date : 1988-08

The Homology Of Hopf Spaces written by R.M. Kane and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08 with Mathematics categories.

This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.

The Homology Of Iterated Loop Spaces

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Author : F. R. Cohen
language : en
Publisher: Springer
Release Date : 2007-01-05

The Homology Of Iterated Loop Spaces written by F. R. Cohen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.

H Spaces

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Author : Francois Sigrist
language : en
Publisher: Springer
Release Date : 2006-11-15

H Spaces written by Francois Sigrist 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.

H Spaces From A Homotopy Point Of View

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Author : James Stasheff
language : en
Publisher: Springer
Release Date : 2006-11-15

H Spaces From A Homotopy Point Of View written by James Stasheff 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.

More Concise Algebraic Topology

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Author : J. P. May
language : en
Publisher: University of Chicago Press
Release Date : 2012-02

More Concise Algebraic Topology written by J. P. May and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02 with Mathematics categories.

With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.

Steenrod Connections And Connectivity In H Spaces

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Author : James P. Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Steenrod Connections And Connectivity In H Spaces written by James P. Lin 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 1987 with Mathematics categories.

Algebraic Local Invariants Of Topological Spaces

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Author : Sze-Tsen Hu
language : en
Publisher:
Release Date : 1958

Algebraic Local Invariants Of Topological Spaces written by Sze-Tsen Hu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Algebraic topology categories.

Introduction To Homotopy Theory

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Author : Paul Selick
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Introduction To Homotopy Theory written by Paul Selick 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 2008 with Mathematics categories.

Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.

Generalized Cohomology

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Author : Akira Kōno
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Generalized Cohomology written by Akira Kōno 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 2006 with Mathematics categories.

Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.

Geometry And Topology Of Configuration Spaces

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Author : Edward R. Fadell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometry And Topology Of Configuration Spaces written by Edward R. Fadell 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 2012-12-06 with Mathematics categories.

With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres, making the subject accessible to researchers and graduates with a minimal background in classical homotopy theory and algebraic topology.