Axiomatic Stable Homotopy Theory Paperback

Axiomatic Stable Homotopy Theory Paperback
Author: Mark Hovey
Publisher: American Mathematical Society(RI)
Total Pages: 130
Release: 2014-09-11
Genre: MATHEMATICS
ISBN: 9781470401955


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This work gives an axiomatic presentation of stable homotopy theory. It starts with axioms defining a stable homotopy category; using these axioms, one can make various constructions - cellular towers, Bousfield localization, and Brown representability, to name a few. Much of the book is devoted to these constructions and to the study of the global structure of stable homotopy categories.


Axiomatic Stable Homotopy Theory Paperback
Language: en
Pages: 130
Authors: Mark Hovey
Categories: MATHEMATICS
Type: BOOK - Published: 2014-09-11 - Publisher: American Mathematical Society(RI)

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This work gives an axiomatic presentation of stable homotopy theory. It starts with axioms defining a stable homotopy category; using these axioms, one can make
Axiomatic Stable Homotopy Theory
Language: en
Pages: 130
Authors: Mark Hovey
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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We define and investigate a class of categories with formal properties similar to those of the homotopy category of spectra. This class includes suitable versio
Axiomatic, Enriched and Motivic Homotopy Theory
Language: en
Pages: 396
Authors: John Greenlees
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The NATO Advanced Study Institute "Axiomatic, enriched and rna tivic homotopy theory" took place at the Isaac Newton Institute of Mathematical Sciences, Cambrid
Equivariant Stable Homotopy Theory
Language: en
Pages: 548
Authors: L. Gaunce Jr. Lewis
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

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This book is a foundational piece of work in stable homotopy theory and in the theory of transformation groups. It may be roughly divided into two parts. The fi
Handbook of Homotopy Theory
Language: en
Pages: 1043
Authors: Haynes Miller
Categories: Mathematics
Type: BOOK - Published: 2020-01-23 - Publisher: CRC Press

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The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open pro