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Gamma-Spaces and S-Algebras

  • Bjørn Ian Dundas
  • Thomas G. Goodwillie
  • Randy McCarthy
Part of the Algebra and Applications book series (AA, volume 18)

Abstract

Segal’s Γ-spaces are introduced as a slight generalization of abelian groups. Though a seemingly minor generalization, this category encompasses a wide and exotic variety of new objects. In particular, the text will primarily use Γ-spaces to model spectra and strictly associative ring spectra.

The chapter begins with a gentle introduction to the algebraic properties before moving on to the homotopy theoretical properties of Γ-spaces. The chapter finishes with a discussion of how algebraic K-theory naturally leads to Γ-spaces.

Keywords

Stable Equivalence Weak Equivalence Smash Product Hochschild Homology Closed Category 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Bjørn Ian Dundas
    • 1
  • Thomas G. Goodwillie
    • 2
  • Randy McCarthy
    • 3
  1. 1.Department of MathematicsUniversity of BergenBergenNorway
  2. 2.Mathematics DepartmentBrown UniversityProvidenceUSA
  3. 3.Department of MathematicsUniversity of IllinoisUrbanaUSA

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