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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
Stable Homotopy and Generalised Homology
Language: en
Pages: 384
Authors: John Frank Adams
Categories: Mathematics
Type: BOOK - Published: 1974 - Publisher: University of Chicago Press

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J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of whi
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
Equivariant Stable Homotopy Theory
Language: en
Pages: 548
Authors: L. Gaunce Jr. Lewis
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

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This book is a foundational piece of work in stable homotopy theory and in the theory of transformation groups. It may be roughly divided into two parts. The fi
Modern Classical Homotopy Theory
Language: en
Pages: 862
Authors: Jeffrey Strom
Categories: Mathematics
Type: BOOK - Published: 2023-01-19 - Publisher: American Mathematical Society

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The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category