ALGEBRAICALLY COFIBRANT AND FIBRANT OBJECTS REVISITED

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129405" target="_blank" >RIV/00216224:14310/22:00129405 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.4310/HHA.2022.v24.n1.a14" target="_blank" >https://dx.doi.org/10.4310/HHA.2022.v24.n1.a14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/HHA.2022.v24.n1.a14" target="_blank" >10.4310/HHA.2022.v24.n1.a14</a>

Result language
angličtina
Original language name
ALGEBRAICALLY COFIBRANT AND FIBRANT OBJECTS REVISITED
Original language description
We extend all known results about transferred model structures on algebraically cofibrant and fibrant objects by working with weak model categories. We show that for an accessible weak model category there are always Quillen equivalent transferred weak model structures on both the categories of algebraically cofibrant and algebraically fibrant objects. Under additional assumptions, these transferred weak model structures are shown to be left, right or Quillen model structures. By combining both constructions, we show that each combinatorial weak model category is connected, via a chain of Quillen equivalences, to a combinatorial Quillen model category in which all objects are fibrant.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-00902S" target="_blank" >GA19-00902S: Injectivity and Monads in Algebra and Topology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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