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@article{1409745,
author = {Raptis, Georgios and Rosický, Jiří},
article_number = {1},
keywords = {cobrantly generated model category; combinatorial model category; simplicial presheaves; Vopěnka's principle},
language = {eng},
issn = {1532-0073},
journal = {Homology, Homotopy and Applications},
title = {Small presentations of model categories and Vopěnka's principle},
url = {https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2018/0020/0001/HHA-2018-0020-0001-a018.pdf},
volume = {20},
year = {2018}
}
TY - JOUR
ID - 1409745
AU - Raptis, Georgios - Rosický, Jiří
PY - 2018
TI - Small presentations of model categories and Vopěnka's principle
JF - Homology, Homotopy and Applications
VL - 20
IS - 1
SP - 303-328
EP - 303-328
SN - 15320073
KW - cobrantly generated model category
KW - combinatorial model category
KW - simplicial presheaves
KW - Vopěnka's principle
UR - https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2018/0020/0001/HHA-2018-0020-0001-a018.pdf
L2 - https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2018/0020/0001/HHA-2018-0020-0001-a018.pdf
N2 - We prove existence results for small presentations of model categories generalizing a theorem of D. Dugger from combinatorial model categories to more general model categories. Some of these results are shown under the assumption of Vopěnka's principle. Our main theorem applies, in particular, to cofibrantly generated model categories where the domains of the generating cofibrations satisfy a slightly stronger smallness condition. As a consequence, assuming Vopěnka's principle, such a cofibrantly generated model category is Quillen equivalent to a combinatorial model category.
ER -
RAPTIS, Georgios a Jiří ROSICKÝ. Small presentations of model categories and Vopěnka's principle. \textit{Homology, Homotopy and Applications}. 2018, roč.~20, č.~1, s.~303-328. ISSN~1532-0073.
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