Stable Categories and Structured Ring Spectra

Stable Categories and Structured Ring Spectra
Author: Andrew J. Blumberg
Publisher: Cambridge University Press
Total Pages: 441
Release: 2022-07-21
Genre: Mathematics
ISBN: 1009123297
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A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.


Stable Categories and Structured Ring Spectra
Language: en
Pages: 441

Stable Categories and Structured Ring Spectra

Authors: Andrew J. Blumberg
Categories: Mathematics
Type: BOOK - Published: 2022-07-21 - Publisher: Cambridge University Press

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A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.
Structured Ring Spectra
Language: en
Pages: 246

Structured Ring Spectra

Authors: Andrew Baker
Categories: Mathematics
Type: BOOK - Published: 2004-11-18 - Publisher: Cambridge University Press

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This book contains some important new contributions to the theory of structured ring spectra.
Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups
Language: en
Pages: 154

Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups

Authors: John Rognes
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The author introduces the notion of a Galois extension of commutative $S$-algebras ($E_\infty$ ring spectra), often localized with respect to a fixed homology t
Foundations of Stable Homotopy Theory
Language: en
Pages: 432

Foundations of Stable Homotopy Theory

Authors: David Barnes
Categories: Mathematics
Type: BOOK - Published: 2020-03-26 - Publisher: Cambridge University Press

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The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is
Rings, Modules, and Algebras in Stable Homotopy Theory
Language: en
Pages: 265

Rings, Modules, and Algebras in Stable Homotopy Theory

Authors: Anthony D. Elmendorf
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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This book introduces a new point-set level approach to stable homotopy theory that has already had many applications and promises to have a lasting impact on th