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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.
Categorical Homotopy Theory
Language: en
Pages: 371
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2014-05-26 - Publisher: Cambridge University Press

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This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by
Global Homotopy Theory
Language: en
Pages: 848
Authors: Stefan Schwede
Categories: Mathematics
Type: BOOK - Published: 2018-09-06 - Publisher: Cambridge University Press

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Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just
Foundations of Stable Homotopy Theory
Language: en
Pages: 432
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
Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
Language: en
Pages: 881
Authors: Michael A. Hill
Categories: Mathematics
Type: BOOK - Published: 2021-07-29 - Publisher: Cambridge University Press

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A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.