Algebraic Methods in Unstable Homotopy Theory (New Mathematical Monographs, Series Number 12) - Hardcover

Neisendorfer, Joseph

Hardcover

ISBN 10: 0521760372 ISBN 13: 9780521760379

Publisher: Cambridge University Press, 2010

Synopsis

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.

About this title

Book Description:

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which underlie the work of Cohen, Moore, and the author. Suitable for a course in unstable homotopy theory, it is also a valuable reference for experts and graduate students alike.

About the Author:

Joseph Neisendorfer is Professor Emeritus in the Department of Mathematics at the University of Rochester, New York.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2010
• ISBN 10: 0521760372
• ISBN 13: 9780521760379
• Binding: Hardcover
• Edition number: 1
• Number of pages: 574