Homotopy Theory and Its Applications
Language: en
Pages: 250
Authors: Alejandro Adem
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in July 1993 (Cocoyoc, Mexico). It includes se
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
Elements of Homotopy Theory
Language: en
Pages: 764
Authors: George W. Whitehead
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the
Syzygies and Homotopy Theory
Language: en
Pages: 307
Authors: F.E.A. Johnson
Categories: Mathematics
Type: BOOK - Published: 2011-11-17 - Publisher: Springer Science & Business Media

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The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familia
Nilpotence and Periodicity in Stable Homotopy Theory
Language: en
Pages: 228
Authors: Douglas C. Ravenel
Categories: Mathematics
Type: BOOK - Published: 1992-11-08 - Publisher: Princeton University Press

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Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and p