Publication Details

A categorical approach to convergence: compactness

ŠLAPAL, J. A categorical approach to convergence: compactness. Topology and its Applications, 2016, vol. 201, no. 1, p. 78-85. ISSN: 0166-8641.

Czech title

Kategoriální přístup ke konvergenci: kompaktnost

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc. (IM DAAG)

URL

https://reader.elsevier.com/reader/sd/pii/S0166864115005581?token=E55CE6A067A4F0EFCECA71C648844855BC127C5CBCBDCEE63A763BD897C4BE78696C15152A6802E8814CA7965B73E6C6&originRegion=eu-west-1&originCreation=20211027132945

Keywords

comma category, convergence class, separated object, compact object, one-point compactifcation

Abstract

A convergence class is introduced on every object of a given category by using certain generalized nets for expressing the convergence. The obtained concrete category is then investigated whose objects are the pairs consisting of objects of the original category and convergence classes on them and whose morphisms are the morphisms of the original category that preserve the convergence. We define, in a natural way, separation and compactness of objects of the concrete category under investigation and study their behavior.

Published

2016

Pages

78–85

Journal

Topology and its Applications, vol. 201, no. 1, ISSN 0166-8641

Publisher

Elsevier

DOI

10.1016/j.topol.2015.12.027

UT WoS

000371936600007

EID Scopus

2-s2.0-84960479847

BibTeX

@article{BUT114790,
  author="Josef {Šlapal}",
  title="A categorical approach to convergence: compactness",
  journal="Topology and its Applications",
  year="2016",
  volume="201",
  number="1",
  pages="78--85",
  doi="10.1016/j.topol.2015.12.027",
  issn="0166-8641",
  url="https://reader.elsevier.com/reader/sd/pii/S0166864115005581?token=E55CE6A067A4F0EFCECA71C648844855BC127C5CBCBDCEE63A763BD897C4BE78696C15152A6802E8814CA7965B73E6C6&originRegion=eu-west-1&originCreation=20211027132945"
}