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Structured Ring Spectra [Minkštas viršelis]

Edited by (Rheinische Friedrich-Wilhelms-Universität Bonn), Edited by (University of Glasgow)
  • Formatas: Paperback / softback, 240 pages, aukštis x plotis x storis: 228x152x15 mm, weight: 342 g, Worked examples or Exercises
  • Serija: London Mathematical Society Lecture Note Series
  • Išleidimo metai: 18-Nov-2004
  • Leidėjas: Cambridge University Press
  • ISBN-10: 0521603056
  • ISBN-13: 9780521603058
Kitos knygos pagal šią temą:
Structured Ring SpectraDidesnis paveikslėlis
  • Formatas: Paperback / softback, 240 pages, aukštis x plotis x storis: 228x152x15 mm, weight: 342 g, Worked examples or Exercises
  • Serija: London Mathematical Society Lecture Note Series
  • Išleidimo metai: 18-Nov-2004
  • Leidėjas: Cambridge University Press
  • ISBN-10: 0521603056
  • ISBN-13: 9780521603058
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780521603058.html
Raktažodžiai:
Based on a January 2002 workshop held in Glasgow, this collection deals with the construction of E-infinity structures and obstruction theories for algebra structures on spectra. The nine papers discuss an enlarged version of Morita equivalence, moduli spaces of commutative ring spectra, cohomology theories for highly structured ring spectra, higher coherences in equivariant K-theory, and permutative categories as a model of connective stable homotopy. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)

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.

This book contains some important new contributions to the theory of structured ring spectra.

Daugiau informacijos

This book contains some important new contributions to the theory of structured ring spectra.
Preface 3(4)
The development of structured ring spectra 7(8)
Anthony Elmendorf
Compromises forced by Lewis's theorem 15(4)
Anthony Elmendorf
Permutative categories as a model of connective stable homotopy 19(14)
Anthony Elmendorf and Michael Mandell
Morita theory in abelian, derived and stable model categories 33(54)
Stefan Schwede
Higher coherences in equivariant K-theory 87(28)
Michael Joachim
(Co-)Homology theories for commutative (S-)algebras 115(18)
Maria Basterra and Birgit Richter
Classical obstructions and S-algebras 133(18)
Alan Robinson
Moduli spaces of commutative ring spectra 151(50)
Paul Goerss and Michael Hopkins
Cohomology theories for highly structured ring spectra 201(32)
Andrey Lazarev
Index 233


Andew Baker is Reader in Mathematics at University of Glasgow. He is the author of the textbook Matrix Groups: An Introduction to Lie Group Theory, as well as numerous publications on algebraic topology, algebra and number theory in a wide range of journals and conference proceedings. He is also an editor for Glasgow Mathematical Journal and Homology and Homotopy and Applications. Birgit Richter is wissenschaftlich Assistentin at Universität Bonn in Germany. He has published articles in several mathematical journals such as Mathematische Annalen,Topology, Annales de l'Institut Fourier, Journal of Pure and Applied Algebra, K-theory and Mathematical Proceedings of the Cambridge Philosophical Society.