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Morava $K$-theories and localisation

About this Title

Mark Hovey and Neil P. Strickland

Publication: Memoirs of the American Mathematical Society
Publication Year 1999: Volume 139, Number 666
ISBNs: 978-0-8218-1079-8 (print); 978-1-4704-0255-6 (online)
MathSciNet review: 1601906
MSC: Primary 55P60; Secondary 55N22, 55P42, 55T15

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Table of Contents


  • Introduction
  • 1. Basic definitions
  • 2. $E$ Theory
  • 3. $K$-Injective spectra
  • 4. Generalised Moore spectra
  • 5. Bousfield classes
  • 6. The $E$($n$)-local category
  • 7. General properties of the $K$($n$)-local category
  • 8. Smallness and duality
  • 9. Homology and cohomology functors
  • 10. Brown-Comenetz duality
  • 11. The natural topology
  • 12. Dualisable spectra
  • 13. $K$-Nilpotent spectra
  • 14. Grading over the Picard group
  • 15. Examples
  • 16. Questions and conjectures