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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

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

  • Czech description

Classification

  • 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

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

  • 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