Publication Details

A categorical approach to convergence: compactness

ŠLAPAL Josef. A categorical approach to convergence: compactness. Topology and Its Applications, vol. 201, no. 1, 2016, pp. 78-85. ISSN 0166-8641.
Czech title
Kategoriální pořístup ke konvergenci: kompaktnost
Type
journal article
Language
english
Authors
Šlapal Josef, prof. RNDr., CSc. (RCIT FIT BUT)
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 Science
DOI
UT WoS
000371936600007
EID Scopus
BibTeX
@ARTICLE{FITPUB11373,
   author = "Josef \v{S}lapal",
   title = "A categorical approach to convergence: compactness",
   pages = "78--85",
   journal = "Topology and Its Applications",
   volume = 201,
   number = 1,
   year = 2016,
   ISSN = "0166-8641",
   doi = "10.1016/j.topol.2015.12.027",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11373"
}
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