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$S$-modules in the category of schemes
About this Title
Po Hu
Publication: Memoirs of the American Mathematical Society
Publication Year:
2003; Volume 161, Number 767
ISBNs: 978-0-8218-2956-1 (print); 978-1-4704-0365-2 (online)
DOI: https://doi.org/10.1090/memo/0767
MathSciNet review: 1950209
MSC: Primary 55P42; Secondary 14F35, 14F42, 18D50, 55P48
Table of Contents
Chapters
- Introduction
- 1. Preliminaries
- 2. Coordinate-free spectra
- 3. Coordinatized prespectra
- 4. Comparison with coordinatized spectra
- 5. The stable simplicial model structure
- 6. The $A^1$-local model structure
- 7. Characterization of $A^1$-weak equivalences
- 8. Change of universe
- 9. The space of linear injections preserving finite subspaces
- 10. Twisted half-smash products and twisted function spectra
- 11. The category of $\mathbb {L}$-spectra
- 12. Unital properties of $\mathbb {L}$-spectra
- 13. The category of $S$-modules
- 14. $S$-algebras and their modules
- 15. Proofs of the model structure theorems
- 16. Technical results on the extended injections operad
- 17. Appendix: Small objects in the category of simplicial sheaves