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Parametrized Homotopy Theory
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Pages: 456
Authors: J. Peter May
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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This book develops rigorous foundations for parametrized homotopy theory, which is the algebraic topology of spaces and spectra that are continuously parametriz
New Directions in Homotopy Theory
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Authors: Nitya Kitchloo, Mona Merling
Categories: Mathematics
Type: BOOK - Published: 2018-05-29 - Publisher: American Mathematical Soc.

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This volume contains the proceedings of the Second Mid-Atlantic Topology Conference, held from March 12–13, 2016, at Johns Hopkins University in Baltimore, Ma
Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
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Authors: Michael A. Hill
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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.
From Categories to Homotopy Theory
Language: en
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Authors: Birgit Richter
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Type: BOOK - Published: 2020-04-16 - Publisher: Cambridge University Press

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Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between p
Cubical Homotopy Theory
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Authors: Brian A. Munson
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Type: BOOK - Published: 2015-10-06 - Publisher: Cambridge University Press

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A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.