TY - BOOK AU - Hu,Po TI - S-modules in the category of schemes T2 - Memoirs of the American Mathematical Society, SN - 9781470403652 (online) AV - QA3QA611.28 .A57 no. 767 U1 - 510 s514/.32 21 PY - 2003/// CY - Providence, R.I. PB - American Mathematical Society KW - Homotopy theory KW - Categories (Mathematics) KW - Point set theory N1 - "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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0767 UR - http://dx.doi.org/10.1090/memo/0767 ER -