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Study Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs)

Posted on 2010-03-16




Name:Study Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs)
ASIN/ISBN:0521760372
Language:English
File size:1.6 Mb
Language: English
Publish Date: 2009-12-31
ISBN: 0521760372
Pages: 552 pages
File Type: PDF
File Size: 1,6 MB
Other Info: Cambridge University Press
   Study Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs)

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Joseph Neisendorfer "Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs)"

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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