Topogenous orders and related families of morphisms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU150329" target="_blank" >RIV/00216305:26210/23:PU150329 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/369627134_Topogeneous_orders_and_related_families_of_morphisms" target="_blank" >https://www.researchgate.net/publication/369627134_Topogeneous_orders_and_related_families_of_morphisms</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2989/16073606.2023.2247739" target="_blank" >10.2989/16073606.2023.2247739</a>

Result language
angličtina
Original language name
Topogenous orders and related families of morphisms
Original language description
In a category with a proper ()-factorization system, we study the notions of strict, co-strict, initial and final morphisms with respect to a topogenous order. Besides showing that they allow simultaneous study of four classes of morphisms obtained separately with respect to closure, interior and neighbourhood operators, the initial and final morphisms lead us to the study of topogenous orders induced by pointed and co-pointed endofunctors. We also lift the topogenous orders along an -fibration. This permits one to obtain the lifting of interior and neighbourhood operators along an -fibration and includes the lifting of closure operators found in the literature. A number of examples presented at the end of the paper demonstrates our results.
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

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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