Codensity: Isbell duality, pro-objects, compactness and accessibility

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114305" target="_blank" >RIV/00216224:14310/20:00114305 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jpaa.2020.106379" target="_blank" >https://doi.org/10.1016/j.jpaa.2020.106379</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2020.106379" target="_blank" >10.1016/j.jpaa.2020.106379</a>

Result language
angličtina
Original language name
Codensity: Isbell duality, pro-objects, compactness and accessibility
Original language description
We study codensity monads T induced by (mostly small, mostly dense) full subcategories A subset of K. These monads behave quite similarly, we show some connections with the Isbell duality, pro-finite objects and compact spaces. We prove that they are quite unlikely to be accessible. Finally, we introduce the notion of generically idempotent monad and comment its properties.
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
10102 - Applied 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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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