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Properness and simplicial resolutions for the model category dgCat

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Properness and simplicial resolutions for the model category dgCat. / Holstein, Julian V. S.
In: Homology, Homotopy and Applications, Vol. 16, No. 2, 2014, p. 263-274.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Holstein JVS. Properness and simplicial resolutions for the model category dgCat. Homology, Homotopy and Applications. 2014;16(2):263-274. doi: 10.4310/HHA.2014.v16.n2.a14

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Holstein, Julian V. S. / Properness and simplicial resolutions for the model category dgCat. In: Homology, Homotopy and Applications. 2014 ; Vol. 16, No. 2. pp. 263-274.

Bibtex

@article{6c41e1b14c8f480eb166cde6dc73e21d,
title = "Properness and simplicial resolutions for the model category dgCat",
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.",
keywords = "math.CT, differential graded category, model category",
author = "Holstein, {Julian V. S.}",
year = "2014",
doi = "10.4310/HHA.2014.v16.n2.a14",
language = "English",
volume = "16",
pages = "263--274",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press of Boston, Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Properness and simplicial resolutions for the model category dgCat

AU - Holstein, Julian V. S.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - math.CT

KW - differential graded category

KW - model category

U2 - 10.4310/HHA.2014.v16.n2.a14

DO - 10.4310/HHA.2014.v16.n2.a14

M3 - Journal article

VL - 16

SP - 263

EP - 274

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 2

ER -