An enriched small object argument over a cofibrantly generated base
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00141202" target="_blank" >RIV/00216224:14310/25:00141202 - isvavai.cz</a>
Result on the web
<a href="http://www.tac.mta.ca/tac/volumes/44/16/44-16.pdf" target="_blank" >http://www.tac.mta.ca/tac/volumes/44/16/44-16.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
An enriched small object argument over a cofibrantly generated base
Original language description
The small object argument is a method for transfinitely constructing weak factorization systems originally motivated by homotopy theory. We establish a variant of the small object argument that is enriched over a cofibrantly generated weak factorization system. This enriched variant of the small object argument subsumes the ordinary small object argument for categories and also certain variants of the small object argument for 2-categories, (2,1)-categories, dg-categories and simplicially enriched categories.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/GA22-02964S" target="_blank" >GA22-02964S: Enriched categories and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theory and Applications of Categories
ISSN
1201-561X
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
16
Country of publishing house
CA - CANADA
Number of pages
35
Pages from-to
439-473
UT code for WoS article
001543336500007
EID of the result in the Scopus database
2-s2.0-105007215594