CELLULAR CATEGORIES AND STABLE INDEPENDENCE

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134133" target="_blank" >RIV/00216224:14310/23:00134133 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26210/22:PU146981
Result on the web
<a href="https://doi.org/10.1017/jsl.2022.40" target="_blank" >https://doi.org/10.1017/jsl.2022.40</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/jsl.2022.40" target="_blank" >10.1017/jsl.2022.40</a>

Result language
angličtina
Original language name
CELLULAR CATEGORIES AND STABLE INDEPENDENCE
Original language description
We exhibit a bridge between the theory of cellular categories, used in algebraic topology and homological algebra, and the model-theoretic notion of stable independence. Roughly speaking, we show that the combinatorial cellular categories (those where, in a precise sense, the cellular morphisms are generated by a set) are exactly those that give rise to stable independence notions. We give two applications: on the one hand, we show that the abstract elementary classes of roots of Ext studied by Baldwin–Eklof–Trlifaj are stable and tame. On the other hand, we give a simpler proof (in a special case) that combinatorial categories are closed under 2-limits, a theorem of Makkai and Rosický.
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/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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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