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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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