National Science Library of Georgia

Local cover image
Local cover image
Image from Google Jackets

Foundations of stable homotopy theory / David Barnes, Constanze Roitzheim.

By: Contributor(s): Material type: TextTextSeries: Cambridge studies in advanced mathematics ; 185.Publisher: Cambridge : Cambridge University Press, 2020Description: 1 online resource (vi, 423 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781108636575 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 514/.24 23
LOC classification:
  • QA612.7 .B375 2020
Online resources: Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Title from publisher's bibliographic system (viewed on 06 Mar 2020).

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.

There are no comments on this title.

to post a comment.

Click on an image to view it in the image viewer

Local cover image
Copyright © 2023 Sciencelib.ge All rights reserved.