Result Details

Closure operators associated with relations

ŠLAPAL, J. Closure operators associated with relations. Topology Proceedings, 2023, vol. 61, no. 1, p. 203-213. ISSN: 0146-4124.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract

We study closure operators that are associated with α-ary relations where α > 1 is an ordinal. In particular, we show that the connectedness with respect to the closure operators is a certain kind of path-wise connectedness. We demonstrate a possible application of our results in digital topology.

Keywords

Closure operator, ordinal (number), relation, path, connectedness,
Khalimsky topology.

URL
Published
2023
Pages
203–213
Journal
Topology Proceedings, vol. 61, no. 1, ISSN 0146-4124
Publisher
Auburn University
Place
Auburn, Alabama, USA
EID Scopus
2-s2.0-85156145527
BibTeX 
@article{BUT181503,
  author="Josef {Šlapal}",
  title="Closure operators associated with relations",
  journal="Topology Proceedings",
  year="2023",
  volume="61",
  number="1",
  pages="203--213",
  issn="0146-4124",
  url="http://topology.nipissingu.ca/tp/reprints/v61/tp61012p1.pdf"
}
Departments
Institute of Mathematics (IM)
Back to top