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Stable Categories and Structured Ring Spectra
Language: en
Pages: 441
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
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.
Rings, Modules, and Algebras in Stable Homotopy Theory
Language: en
Pages: 265
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
Global Homotopy Theory
Language: en
Pages: 847
Authors: Stefan Schwede
Categories: Mathematics
Type: BOOK - Published: 2018-09-06 - Publisher: Cambridge University Press

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A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.
Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups
Language: en
Pages: 154
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