Properness and simplicial resolutions for the model category dgCat
Category Theory
2020-09-24 v5
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.
Cite
@article{arxiv.1403.4381,
title = {Properness and simplicial resolutions for the model category dgCat},
author = {Julian V. S. Holstein},
journal= {arXiv preprint arXiv:1403.4381},
year = {2020}
}
Comments
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