Result Details

Lower separation axioms in bitopogenous spaces

RICHMOND, T.; ŠLAPAL, J. Lower separation axioms in bitopogenous spaces. Mathematica Slovaca, 2024, vol. 74, no. 2, p. 491-500. ISSN: 1337-2211.
Type
journal article
Language
English
Authors
Richmond Tom, Prof.
Šlapal Josef, prof. RNDr., CSc., IM DAAG (FME)
Abstract

Several naturally defined lower separation axioms for bitopological spaces obtained by modifying the axioms T-0, T-1, and R-0 appear in the literature. We introduce and study analogous separation axioms for bitopogenous spaces. In particular, we investigate relationships between the axioms and discuss the conditions under which the relationships are similar to those between the corresponding separation axioms for bitopological spaces.

Keywords

Topogenous order; closure operator; bitopogenous space; lower separation axioms

URL
Published
2024
Pages
491–500
Journal
Mathematica Slovaca, vol. 74, no. 2, ISSN 1337-2211
Publisher
WALTER DE GRUYTER GMBH
Place
BERLIN
DOI
10.1515/ms-2024-0037
UT WoS
001230570300020
EID Scopus
2-s2.0-85194477961
BibTeX 
@article{BUT188780,
  author="Tom {Richmond} and Josef {Šlapal}",
  title="Lower separation axioms in bitopogenous spaces",
  journal="Mathematica Slovaca",
  year="2024",
  volume="74",
  number="2",
  pages="491--500",
  doi="10.1515/ms-2024-0037",
  issn="0139-9918",
  url="https://www.degruyter.com/document/doi/10.1515/ms-2024-0037/html"
}
Projects
Mezinárodní mobilita výzkumníků Vysokého učení technického v Brně II, EU, OPVVV PO2 Mezinárodní mobilita výzkumných pracovníků, CZ.02.2.69/0.0/0.0/18_053/0016962, start: 2020-09-01, end: 2023-06-30, running
Departments
Institute of Mathematics (IM)
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