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

559 Pages·2010·1.801 MB·English
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by Joseph Neisendorfer| 2010| 559 pages| 1.801| English

About 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.

Detailed Information

Author:Joseph Neisendorfer
Publication Year:2010
ISBN:9780521760379
Pages:559
Language:English
File Size:1.801
Format:PDF
Price:FREE
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