Detail publikačního výsledku

Topogenous orders on forms

IRAGI, M.; HOLGATE, D.; ŠLAPAL, J.

Originální název

Topogenous orders on forms

Anglický název

Topogenous orders on forms

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Form, (co)cartesian lifting, closure operator, interior operator, topogenous order, strict and nal morphisms, cohereditariness.

Klíčová slova v angličtině

Form, (co)cartesian lifting, closure operator, interior operator, topogenous order, strict and nal morphisms, cohereditariness.

Autoři

IRAGI, M.; HOLGATE, D.; ŠLAPAL, J.

Vydáno

01.02.2025

Nakladatel

De Gruyter

Místo

Slovakia

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Svazek

75

Číslo

1

Stát

Slovenská republika

Strany od

179

Strany do

188

Strany počet

10

URL

https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0014/html

BibTex

@article{BUT197833,
  author="Josef {Šlapal} and Minani {Iragi} and David Brendon {Holgate}",
  title="Topogenous orders on forms",
  journal="Mathematica Slovaca",
  year="2025",
  volume="75",
  number="1",
  pages="179--188",
  doi="10.1515/ms-2025-0014",
  issn="0139-9918",
  url="https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0014/html"
}