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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
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
Complex Cobordism and Stable Homotopy Groups of Spheres
Language: en
Pages: 418
Authors: Douglas C. Ravenel
Categories: Mathematics
Type: BOOK - Published: 2003-11-25 - Publisher: American Mathematical Soc.

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Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account o
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
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