Homology, Homotopy and Applications

Volume 8 (2006)

Number 1

Spectral enrichments of model categories

Pages: 1 – 30

DOI: http://dx.doi.org/10.4310/HHA.2006.v8.n1.a1

Author

Daniel Dugger (Department of Mathematics, University of Oregon, Eugene, Or., U.S.A.)

Abstract

We prove that every stable, presentable model category can be enriched in a natural way over symmetric spectra. As a consequence of the general theory, every object in such a model category has an associated homotopy endomorphism ring spectrum. Basic properties of these invariants are established.

Keywords

model category, symmetric spectra

2010 Mathematics Subject Classification

55U35

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