Publication result detail

Closure operators associated with relations

ŠLAPAL, J.

Original Title

Closure operators associated with relations

English Title

Closure operators associated with relations

Type

Scopus Article

Original 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.

English 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.

Key words in English

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

Authors

ŠLAPAL, J.

RIV year

2024

Released

01.01.2023

Publisher

Auburn University

Location

Auburn, Alabama, USA

ISBN

0146-4124

Periodical

Topology Proceedings

Volume

61

Number

1

State

United States of America

Pages from

203

Pages to

213

Pages count

11

URL

http://topology.nipissingu.ca/tp/reprints/v61/tp61012p1.pdf

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"
}