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  1. Home
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  3. Algebraic Methods in Unstable Homotopy Theory
  • Cited by 33
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
2010
Online ISBN:
9780511691638
DOI:
https://doi.org/10.1017/CBO9780511691638
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
New Mathematical Monographs (12)
Information

Book description

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.

Reviews

'It is very well written and organized, as would be expected of the author, who is renowned for an excellent expository style … the book could, and should, be used as a text for students aiming to do research in unstable homotopy theory. By the end of a thorough reading, a student would be well grounded in a suite of contemporary methods and would be ready to tackle research problems. the book's comprehensive nature also means that it is a wonderful reference for expects in the area.'

Source: Bulletin of the London Mathematical Society

'… provides a new generation of topologists with a readable and workmanlike collection of important techniques and results …'

Source: Mathematical Reviews

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Contents

Contents
References
Bibliography
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