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Galois extensions of structured ring spectra. Stably dualizable groups

About this Title

John Rognes

Publication: Memoirs of the American Mathematical Society
Publication Year: 2008; Volume 192, Number 898
ISBNs: 978-0-8218-4076-4 (print); 978-1-4704-0504-5 (online)
DOI: https://doi.org/10.1090/memo/0898
MathSciNet review: 2387923
MSC: Primary 55P43; Secondary 55M05, 55P35, 57T05

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Table of Contents

Chapters

  • Galois extensions of structured ring spectra
  • 1. Introduction
  • 2. Galois extensions in algebra
  • 3. Closed categories of structured module spectra
  • 4. Galois extensions in topology
  • 5. Examples of Galois extensions
  • 6. Dualizability and alternate characterizations
  • 7. Galois theory I
  • 8. Pro-Galois extensions and the Amitsur complex
  • 9. Separable and étale extensions
  • 10. Mapping spaces of commutative $S$-algebras
  • 11. Galois theory II
  • 12. Hopf–Galois extensions in topology
  • Stably dualizable groups
  • 1. Introduction
  • 2. The dualizing spectrum
  • 3. Duality theory
  • 4. Computations
  • 5. Norm and transfer maps