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Results tagged with model-categories
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user 36625
A model category is a category equipped with notions of weak equivalences, fibrations and cofibrations allowing to run arguments similar to those of classical homotopy theory.
1
vote
Accepted
Bounded dg algebra vs unbounded dg algebras
The free-forgetful adjunction still works in the non-negatively graded setting and induces a cofibrantly generated model category structure in caracteristic zero.
This follows actually from a very ge …
- 1,609
8
votes
1
answer
388
views
Unicity up to homotopy of simplicial enrichments
On the one hand, in their paper Simplicial structures on model categories and functors, Rezk, Schwede and Shipley proved that a simplicial model category structure on a given model category is unique …
- 1,609
4
votes
1
answer
230
views
Factorization of morphisms in a diagram category
Let us suppose that $I$ is a small category and $\mathcal{E}$ a combinatorial model category. Then there exists two Quillen equivalent combinatorial model category structures on the diagram category $ …
- 1,609