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Modern Foundations For Stable Homotopy Theory (1995)
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| Citations: | 25 - 8 self |
BibTeX
@MISC{Elmendorf95modernfoundations,
author = {A. D. Elmendorf and I. Kriz and J. P. May},
title = {Modern Foundations For Stable Homotopy Theory},
year = {1995}
}
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Abstract
Contents Introduction 1 1. Spectra and the stable homotopy category 6 2. Smash products and twisted half-smash products 11 3. The category of S-modules and its derived category 13 4. The smash product of S-modules 15 5. A1 and E1 ring spectra and their categories of modules 19 6. The smash product of R-modules and function R-modules 22 7. Tor and Ext in topology and algebra 26 8. Universal coefficient and Kunneth spectral sequences 29 9. Algebraic constructions in the derived category of R-modules 31 10. Algebra structures on localizations and on quotients by ideals 34 11. The specialization to MU-modules and algebras 37 References 39 Introduction It is a truism that algebraic topology is a very young subject. In some of its most fundamental branches, the foundations have not yet reached a state of shared consensus. Ou
