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Morava \(K\)-Theories and Localisation
Mark Hovey, Wesleyan University, Middletown, CT, and Neil P. Strickland, University of Sheffield, UK
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Memoirs of the American Mathematical Society
1999; 100 pp; softcover
Volume: 139
ISBN-10: 0-8218-1079-0
ISBN-13: 978-0-8218-1079-8
List Price: US$46
Individual Members: US$27.60
Institutional Members: US$36.80
Order Code: MEMO/139/666
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Readership

Graduate students and research mathematicians working in algebraic topology and \(K\)-theory.

Table of Contents

  • Introduction
  • Basic definitions
  • \(E\) theory
  • \(K\)-injective spectra
  • Generalised Moore spectra
  • Bousfield classes
  • The \(E(n)\)-local category
  • General properties of the \(K(n)\)-local category
  • Smallness and duality
  • Homology and cohomology functors
  • Brown-Comenetz duality
  • The natural topology
  • Dualisable spectra
  • \(K\)-nilpotent spectra
  • Grading over the Picard group
  • Examples
  • Questions and conjectures
  • Completion
  • Small objects in other categories
  • References
  • Index
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