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arXiv · 1403.4381

Properness and simplicial resolutions for the model category dgCat

Julian V. S. Holstein
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Abstract

We provide proofs of two properties of the model category dgCat of dg-categories (with the Morita or Dwyer-Kan model structure): When working over a field the category dgCat is left proper. Natural simplicial resolutions in dgCat are given by dg-categories of Maurer-Cartan elements.

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Julian V. S. Holstein. 2014-03-18. Properness and simplicial resolutions for the model category dgCat. https://doi.org/10.4310/hha.2014.v16.n2.a14

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