A categorical approach to convergence

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F16%3APU113274" target="_blank" >RIV/00216305:26210/16:PU113274 - isvavai.cz</a>
Result on the web
<a href="http://www.doiserbia.nb.rs/img/doi/0354-5180/2016/0354-51801612329S.pdf" target="_blank" >http://www.doiserbia.nb.rs/img/doi/0354-5180/2016/0354-51801612329S.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2298/FIL1612329S" target="_blank" >10.2298/FIL1612329S</a>

Result language
angličtina
Original language name
A categorical approach to convergence
Original language description
We define the concept of a convergence classes on an object of a given category by using certain generalized nets for expressing the convergence. The resulting topological category, whose objects are the pairs consisting of objects of the original category and convergence classes on them, is then investigated. We study full subcategories of this category which are obtained by imposing some natural convergence axioms. In particular, we find sufficient conditions for the subcategories to be cartesian closed. We also investigate behavior of the closure operators associated with the convergence in a natural way.
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/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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