Algebraic Methods in Unstable Homotopy Theory

Released on by Joseph Neisendorfer
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  • Algebraic Methods in Unstable Homotopy Theory Book Detail

  • Author : Joseph Neisendorfer
  • Release Date : 2010-02-18
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 575
  • ISBN 13 : 1139482599
  • File Size : 84,84 MB
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Algebraic Methods in Unstable Homotopy Theory by Joseph Neisendorfer PDF Summary

Book 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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