S-modules in the category of schemes / [electronic resource] Po Hu.

By: Hu, Po, 1974-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 767Publication details: Providence, R.I. : American Mathematical Society, 2003Description: 1 online resource (viii, 125 p.)ISBN: 9781470403652 (online)Subject(s): Homotopy theory | Categories (Mathematics) | Point set theoryAdditional physical formats: S-modules in the category of schemes /DDC classification: 510 s | 514/.32 LOC classification: QA3 | .A57 no. 767 | QA611.28Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK13220

"Volume 161, number 767 (fourth of 5 numbers)."

Includes bibliographical references (p. 125).

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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