Skip to main content

Foundations of Stable Homotopy Theory

Barnes, David, Roitzheim, Constanze (2020) Foundations of Stable Homotopy Theory. Cambridge Studies in Advanced Mathematics . Cambridge University Press, 430 pp. ISBN 978-1-108-48278-3. E-ISBN 978-1-108-63657-5. (In press) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

PDF (version submitted to the publisher) - Author's Accepted Manuscript
Restricted to Repository staff only
Contact us about this Publication
[img]
Official URL
https://www.cambridge.org/core/books/foundations-o...

Abstract

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.

Item Type: Book
Uncontrolled keywords: Stable homotopy theory, algebraic topology, model categories
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Constanze Roitzheim
Date Deposited: 03 Oct 2019 09:46 UTC
Last Modified: 24 Feb 2020 11:51 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/76992 (The current URI for this page, for reference purposes)
Roitzheim, Constanze: https://orcid.org/0000-0003-3065-0672
  • Depositors only (login required):

Downloads

Downloads per month over past year