Topogenous orders on forms

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Topogenous orders on forms

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Slovaca

ISSN

0139-9918

e-ISSN

1337-2211

Volume of the periodical

75

Issue of the periodical within the volume

1

Country of publishing house

SK - SLOVAKIA

Number of pages

10

Pages from-to

179-188

UT code for WoS article

001435562500004

EID of the result in the Scopus database

2-s2.0-86000488489