Geometric Applications Of Homotopy Theory Ii
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Geometric Applications Of Homotopy Theory Ii
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Author : M.G. Barratt
language : en
Publisher: Springer
Release Date : 2006-11-15
Geometric Applications Of Homotopy Theory Ii written by M.G. Barratt 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.
Geometric Applications Of Homotopy Theory Ii
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Author : M. G. Barratt
language : en
Publisher:
Release Date : 2014-01-15
Geometric Applications Of Homotopy Theory Ii written by M. G. Barratt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Geometric Applications Of Homotopy Theory Ii
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Author : M.G. Barratt
language : en
Publisher: Springer Verlag
Release Date : 1978-07-01
Geometric Applications Of Homotopy Theory Ii written by M.G. Barratt and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-07-01 with Mathematics categories.
Representation Theory Ii
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Author : V. Dlab
language : en
Publisher: Springer
Release Date : 2006-11-15
Representation Theory Ii written by V. Dlab 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.
Geometric Applications Of Homotopy Theory Ii
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Author : M. G. Barratt
language : en
Publisher:
Release Date : 1978
Geometric Applications Of Homotopy Theory Ii written by M. G. Barratt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Differential Geometrical Methods In Mathematical Physics Ii
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Author : K. Bleuler
language : en
Publisher: Springer
Release Date : 2006-11-15
Differential Geometrical Methods In Mathematical Physics Ii written by K. Bleuler 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 Science categories.
Geometry And Differential Geometry
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Author : R. Artzy
language : en
Publisher: Springer
Release Date : 2006-11-15
Geometry And Differential Geometry written by R. Artzy 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.
Global Analysis
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Author : M. Grmela
language : en
Publisher: Springer
Release Date : 2006-11-15
Global Analysis written by M. Grmela 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.
Homotopy Theory An Introduction To Algebraic Topology
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Author :
language : en
Publisher: Academic Press
Release Date : 1975-11-12
Homotopy Theory An Introduction To Algebraic Topology written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-11-12 with Mathematics categories.
Homotopy Theory: An Introduction to Algebraic Topology
Model Categories And Their Localizations
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Author : Philip S. Hirschhorn
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Model Categories And Their Localizations written by Philip S. Hirschhorn 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 2003 with Mathematics categories.
The aim of this book is to explain modern homotopy theory in a manner accessible to graduate students yet structured so that experts can skip over numerous linear developments to quickly reach the topics of their interest. Homotopy theory arises from choosing a class of maps, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences, i.e., by creating a new category in which the weak equivalences are isomorphisms. Quillen defined a model category to be a category together with a class of weak equivalences and additional structure useful for describing the homotopy category in terms of the original category. This allows you to make constructions analogous to those used to study the homotopy theory of topological spaces. A model category has a class of maps called weak equivalences plus two other classes of maps, called cofibrations and fibrations. Quillen's axioms ensure that the homotopy category exists and that the cofibrations and fibrations have extension and lifting properties similar to those of cofibration and fibration maps of topological spaces. During the past several decades the language of model categories has become standard in many areas of algebraic topology, and it is increasingly being used in other fields where homotopy theoretic ideas are becoming important, including modern algebraic $K$-theory and algebraic geometry. All these subjects and more are discussed in the book, beginning with the basic definitions and giving complete arguments in order to make the motivations and proofs accessible to the novice. The book is intended for graduate students and research mathematicians working in homotopy theory and related areas.