ENGLISH

Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs)

By Joseph Neisendorfer

Book information

Year
2010
ISBN
0521760372, 9780521760379
LCC
QA612.7 .N45 2009
Open Library ID
OL23631758M
Language
english
Format
PDF
Filesize
2 MB (1888012 bytes)
Edition
1
Pages
574\559
Time added
2011-06-04 13:46:07

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.

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