Another proof of Banaschewski's surjection theorem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404832" target="_blank" >RIV/00216208:11320/19:10404832 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KZgVhfxu12" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KZgVhfxu12</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Another proof of Banaschewski's surjection theorem
Original language description
We present a new proof of Banaschewski's theorem stating that the completion lift of a uniform surjection is a surjection. The new procedure allows to extend the fact (and, similarly, the related theorem on closed uniform sublocales of complete uniform frames) to quasi-uniformities ("not necessarily symmetric uniformities"). Further, we show how a (regular) Cauchy point on a closed uniform sublocale can be extended to a (regular) Cauchy point on the larger (quasi-) uniform frame.
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/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Categories and General Algebraic Structures with Applications
ISSN
2345-5853
e-ISSN
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Volume of the periodical
11
Issue of the periodical within the volume
1
Country of publishing house
IR - IRAN, ISLAMIC REPUBLIC OF
Number of pages
18
Pages from-to
113-130
UT code for WoS article
000476608900007
EID of the result in the Scopus database
2-s2.0-85076769522

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