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  • 1403.4381v4

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Properness and simplicial resolutions for the model category dgCat

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>2014
<mark>Journal</mark>Homology, Homotopy and Applications
Issue number2
Volume16
Number of pages12
Pages (from-to)263-274
Publication StatusPublished
<mark>Original language</mark>English

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.