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Structured Ring Spectra
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Details

  • Page extent: 240 pages
  • Size: 228 x 152 mm
  • Weight: 0.342 kg

Library of Congress

  • Dewey number: 512/.4
  • Dewey version: 22
  • LC Classification: QA247 .S84 2004
  • LC Subject headings:
    • Rings (Algebra)
    • Spectral theory (Mathematics)
    • Categories (Mathematics)
    • Homotopy theory

Library of Congress Record

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Paperback

 (ISBN-13: 9780521603058 | ISBN-10: 0521603056)

In stock

$88.00 (C)

The prominent role of multiplicative cohomology theories has led to a great deal of foundational research recently on ring spectra within the field of algebraic topology. This has given rise to significant new approaches to constructing categories of spectra and ring-like objects in them. These essays contain important new contributions to the theory of structured ring spectra as well as survey papers describing relationships between them.

Contents

1. The development of structured ring spectra Anthony Elmendorf; 2. Compromises forced by Lewis's Theorem Anthony Elmendorf; 3. Permutative categories as a model of connective stable homotopy Anthony Elmendorf and Michael Mandell; 4. Morita Theory in Abelian, derived and stable model categories Stefan Schwede; 5. Higher coherences in equivariant K-theory Michael Joachim; 6. Co-homology theories for commutative S-algebras Maria Basterra and Birgit Richter; 7. Classical obstructions and S-algebras Alan Robinson; 8. Moduli spaces of commutative ring spectra Paul Goerss and Michael Hopkins; 9. Cohomology theories for highly structured ring spectra Andrey Lazarev.

Contributors

Andrew Baker, Birgit Richter, Andrey Lazarev, Stefan Schwede, Michael Joachim, Anthony Elmendorf, Michael Mandell, Paul Goerss, Michael Hopkins, Alan Robinson, Maria Basterra

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