A FINITARY ADJOINT FUNCTOR THEOREM To the memory of Věra Trnková

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00381336" target="_blank" >RIV/68407700:21230/24:00381336 - isvavai.cz</a>
Result on the web
<a href="http://www.tac.mta.ca/tac/volumes/41/53/41-53.pdf" target="_blank" >http://www.tac.mta.ca/tac/volumes/41/53/41-53.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A FINITARY ADJOINT FUNCTOR THEOREM To the memory of Věra Trnková
Original language description
Graduated locally finitely presentable categories are introduced, examples include categories of sets, vector spaces, posets, presheaves and Boolean algebras. A finitary functor between graduated locally finitely presentable categories is proved to be a right adjoint if and only if it preserves countable limits. For endofunctors on vector spaces or pointed sets even countable products are sufficient. Surprisingly, for set functors there is a single exception of a (trivial) finitary functor preserving countable products but not countable limits.
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
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OECD FORD branch
10101 - Pure mathematics

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)

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

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