Bordism, Stable Homotopy, and Adams Spectral Sequences

Released on by Stanley O. Kochman
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  • Bordism, Stable Homotopy, and Adams Spectral Sequences Book Detail

  • Author : Stanley O. Kochman
  • Release Date :
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 288
  • ISBN 13 : 0821871900
  • File Size : 68,68 MB
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Bordism, Stable Homotopy, and Adams Spectral Sequences by Stanley O. Kochman PDF Summary

Book Description: This book is a compilation of lecture notes that were prepared for the graduate course "Adams Spectral Sequences and Stable Homotopy Theory" given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously.

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Stable Homotopy and Generalised Homology

Stable Homotopy and Generalised Homology

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J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of whi