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Download the fantastic book titled Foundations of Stable Homotopy Theory written by David Barnes, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Foundations of Stable Homotopy Theory", which was released on 26 March 2020. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.

Summary of Foundations of Stable Homotopy Theory by David Barnes PDF

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 much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.

Foundations of Stable Homotopy Theory

Detail About Foundations of Stable Homotopy Theory PDF

  • Author : David Barnes
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Total Pages : 432 pages
  • ISBN : 1108672671
  • PDF File Size : 39,6 Mb
  • Language : English
  • Rating : 4/5 from 21 reviews

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Foundations of Stable Homotopy Theory

Foundations of Stable Homotopy Theory
  • Publisher : Cambridge University Press
  • File Size : 55,7 Mb
  • Release Date : 26 March 2020
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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 much folklore but very few

Equivariant Stable Homotopy Theory

Equivariant Stable Homotopy Theory
  • Publisher : Springer
  • File Size : 28,6 Mb
  • Release Date : 14 November 2006
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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 first part

Complex Cobordism and Stable Homotopy Groups of Spheres

Complex Cobordism and Stable Homotopy Groups of Spheres
  • Publisher : American Mathematical Society
  • File Size : 55,9 Mb
  • Release Date : 09 February 2023
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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 on the

Introduction to Homotopy Theory

Introduction to Homotopy Theory
  • Publisher : American Mathematical Soc.
  • File Size : 36,8 Mb
  • Release Date : 24 June 2024
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Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in

Simplicial Homotopy Theory

Simplicial Homotopy Theory
  • Publisher : Birkhäuser
  • File Size : 32,8 Mb
  • Release Date : 06 December 2012
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Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept

Nilpotence and Periodicity in Stable Homotopy Theory

Nilpotence and Periodicity in Stable Homotopy Theory
  • Publisher : Princeton University Press
  • File Size : 34,7 Mb
  • Release Date : 08 November 1992
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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 periodicity theorems, which were conjectured by the

Modern Classical Homotopy Theory

Modern Classical Homotopy Theory
  • Publisher : American Mathematical Society
  • File Size : 22,7 Mb
  • Release Date : 19 January 2023
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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.

Introduction to Stable Homotopy Theory

Introduction to Stable Homotopy Theory
  • Publisher : Cambridge University Press
  • File Size : 50,9 Mb
  • Release Date : 26 March 2020
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A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

Stable Homotopy and Generalised Homology

Stable Homotopy and Generalised Homology
  • Publisher : University of Chicago Press
  • File Size : 49,8 Mb
  • Release Date : 24 June 1974
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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 which are published in this classic