Left Bousfield localization without left properness

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00579294" target="_blank" >RIV/67985840:_____/24:00579294 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/24:10474460
Result on the web
<a href="https://doi.org/10.1016/j.jpaa.2023.107570" target="_blank" >https://doi.org/10.1016/j.jpaa.2023.107570</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2023.107570" target="_blank" >10.1016/j.jpaa.2023.107570</a>

Result language
angličtina
Original language name
Left Bousfield localization without left properness
Original language description
Given a combinatorial (semi-)model category M and a set of morphisms C, we establish the existence of a semi-model category LCM satisfying the universal property of the left Bousfield localization in the category of semi-model categories. Our main tool is a semi-model categorical version of a result of Jeff Smith, that appears to be of independent interest. Our main result allows for the localization of model categories that fail to be left proper. We give numerous examples and applications, related to the Baez-Dolan stabilization hypothesis, localizations of algebras over operads, chromatic homotopy theory, parameterized spectra, C⁎-algebras, enriched categories, dg-categories, functor calculus, and Voevodsky's work on radditive functors.
Czech name
—
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/GX19-28628X" target="_blank" >GX19-28628X: Homotopy and Homology Methods and Tools Related to Mathematical Physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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