• DOI:10.2140/agt.2003.3.287
Corpus ID: 14500792

Equivalences of monoidal model categories

@article{Schwede2003EquivalencesOM,
  title={Equivalences of monoidal model categories},
  author={S. Schwede and B. Shipley},
  journal={Algebraic & Geometric Topology},
  year={2003},
  volume={3},
  pages={287-334}
}

S. Schwede, B. Shipley

Published 2003

Mathematics

Algebraic & Geometric Topology

We construct Quillen equivalences between the model categories of monoids (rings), modules and algebras over two Quillen equivalent model categories under certain conditions. This is a continuation of our earlier work where we established model categories of monoids, modules and al- gebras (SS00). As an application we extend the Dold-Kan equivalence to show that the model categories of simplicial rings, modules and algebras are Quillen equivalent to the associated model categories of connected… CONTINUE READING

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