Detail publikačního výsledku

Topogenous orders on forms

IRAGI, M.; HOLGATE, D.; ŠLAPAL, J.

Original Title

Topogenous orders on forms

English Title

Topogenous orders on forms

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

IRAGI, M.; HOLGATE, D.; ŠLAPAL, J.

Released

01.02.2025

Publisher

De Gruyter

Location

Slovakia

ISBN

0139-9918

Periodical

Mathematica Slovaca

Volume

75

Number

1

State

Slovak Republic

Pages from

179

Pages to

188

Pages count

10

URL

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

Full text in the Digital Library

http://hdl.handle.net/

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"
}