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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
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