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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)
DOI: https://doi.org/10.1090/memo/0666
MathSciNet review: 1601906
MSC: Primary 55P60; Secondary 55N22, 55P42, 55T15

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Table of Contents

Chapters

• 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