Properness and simplicial resolutions for the model category dgCat
arXiv:1403.4381 · doi:10.4310/HHA.2014.v16.n2.a14
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.
15 pages. V5: added appendix to close two gaps in the proof of the main theorem. V3 appeared in Homology, Homotopy and Applications, vol. 16(2), 2014