Detail publikace

Topogenous orders on forms

IRAGI, M. HOLGATE, D. ŠLAPAL, J.

Anglický název

Topogenous orders on forms

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

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

Vydáno

01.02.2025

Nakladatel

De Gruyter

Místo

Slovakia

ISSN

0139-9918

Ročník

75

Číslo

1

Strany od–do

179–188

Počet stran

10

BIBTEX


@article{BUT197833,
  author="Josef {Šlapal} and Minani {Iragi} and David Brendon {Holgate},
  title="Topogenous orders on forms",
  year="2025",
  volume="75",
  number="1",
  month="February",
  pages="179--188",
  publisher="De Gruyter",
  address="Slovakia",
  issn="0139-9918"
}