Small presentations of model categories and Vopěnka's principle

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00100844" target="_blank" >RIV/00216224:14310/18:00100844 - isvavai.cz</a>
Result on the web
<a href="https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2018/0020/0001/HHA-2018-0020-0001-a018.pdf" target="_blank" >https://www.intlpress.com/site/pub/files/_fulltext/journals/hha/2018/0020/0001/HHA-2018-0020-0001-a018.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Small presentations of model categories and Vopěnka's principle
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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