General facts on the Scott adjunction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00557874" target="_blank" >RIV/67985840:_____/22:00557874 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10485-021-09666-6" target="_blank" >https://doi.org/10.1007/s10485-021-09666-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10485-021-09666-6" target="_blank" >10.1007/s10485-021-09666-6</a>

Result language
angličtina
Original language name
General facts on the Scott adjunction
Original language description
We introduce, comment and develop the Scott adjunction, mostly from the point of view of a category theorist. Besides its technical and conceptual aspects, in a nutshell we provide a categorification of the Scott topology over a posets with directed suprema. From a technical point of view we establish an adjunction between accessible categories with directed colimits and Grothendieck topoi. We show that the bicategory of topoi is enriched over the 2-category of accessible categories with directed colimits and it has tensors with respect to this enrichment. The Scott adjunction (re-)emerges naturally from this observation.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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