Topogenous orders on forms

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F26%3A0197833" target="_blank" >RIV/00216305:26210/26:0197833 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0014/html" target="_blank" >https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0014/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2025-0014" target="_blank" >10.1515/ms-2025-0014</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Topogenous orders on forms
Popis výsledku v původním jazyce
Departing from a categorical concept of topogenous orders defined relative to the bifibration of subobjects, we introduce and discuss topogenous orders on forms, i.e., faithful and amnestic functors. These topogenous orders are shown to include both closure and interior operators on forms. We define and study two special morphisms relative to a topogenous order, namely strict and final morhisms. We give a characterization of the two morphisms by the help of their cartesian and cocartesian liftings. Some examples from topology and algebra demonstrating our results are included.
Název v anglickém jazyce
Topogenous orders on forms
Popis výsledku anglicky
Departing from a categorical concept of topogenous orders defined relative to the bifibration of subobjects, we introduce and discuss topogenous orders on forms, i.e., faithful and amnestic functors. These topogenous orders are shown to include both closure and interior operators on forms. We define and study two special morphisms relative to a topogenous order, namely strict and final morhisms. We give a characterization of the two morphisms by the help of their cartesian and cocartesian liftings. Some examples from topology and algebra demonstrating our results are included.

Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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