Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Ravenel, Douglas C.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1993
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 128
• Physical Description: 1 online resource (224 p.)

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten ye...

Table of Contents

• Frontmatter
• Contents
• Preface
• Introduction
• Chapter 1. The main theorems
• Chapter 2. Homotopy groups and the chromatic filtration
• Chapter 3. MU-theory and formal group laws
• Chapter 4. Morava's orbit picture and Morava stabilizer groups
• Chapter 5. The thick subcategory theorem
• Chapter 6. The periodicity theorem
• Chapter 7. Bousfield localization and equivalence
• Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems
• Chapter 9. The proof of the nilpotence theorem
• Appendix A. Some tools from homotopy theory
• Appendix B. Complex bordism and BP-theory
• Appendix C. Some idempotents associated with the symmetric group
• Bibliography
• Index