Algebraic Methods in Unstable Homotopy Theory (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	New Mathematical Monographs
Release date:	February 2010
First published:	April 2010
Authors:	Joseph Neisendorfer
Dimensions:	234 x 162 x 35mm (L x W x T)
Format:	Hardcover
Pages:	574
ISBN-13:	978-0-521-76037-9
Categories:	Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	0-521-76037-2
Barcode:	9780521760379

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