Result Details

Closure operators for semitopogenous spaces

ŠLAPAL, J.; RICHMOND, T. Closure operators for semitopogenous spaces. Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 2026, vol. 69(117), iss. 1, p. 3-14.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM DAAG (FME)
Richmond Thomas Alan, prof.
Abstract

Semitopogenous orders on a set X were introduced by Cs´asz´ar to provide a unified
approach to topology, proximity, and uniformity. At least four closure operators
associated with a semitopogenous order have been introduced by various authors. We
provide a systematic comparison of these closure operators. Examples are presented
to show their relative dependence and independence.

Keywords

Semitopogenous order, closure operator, topology, connected closure space.

URL
Published
2026
Pages
12
Journal
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, vol. 69(117), no. 1, ISSN
Publisher
Romanian Mathematical Society
UT WoS
001705847300001
BibTeX 
@article{BUT202001,
  author="Josef {Šlapal} and Thomas Alan {Richmond}",
  title="Closure operators for semitopogenous spaces",
  journal="Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie",
  year="2026",
  volume="69(117)",
  number="1",
  pages="12",
  issn="1220-3874",
  url="https://bulletin.ssmr.ro/pdf/69-1/articol_1.pdf"
}
Departments
Institute of Mathematics (IM)
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