Homology, Homotopy and Applications

Volume 8 (2006)

Number 1

Spectral enrichments of model categories

Pages: 1 – 30

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


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


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.


model category, symmetric spectra

2010 Mathematics Subject Classification


Published 1 January 2006