Publication result detail

A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane

ŠLAPAL, J.

Original Title

A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane

English Title

A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We introduce and study closure operations on ZxZ which generalize the Khalimsky topology.By proving a digital analogy of the Jordan curve theorem for these closure operations, we show that they are suitable for solving problems of digital topology.

English abstract

We introduce and study closure operations on ZxZ which generalize the Khalimsky topology.By proving a digital analogy of the Jordan curve theorem for these closure operations, we show that they are suitable for solving problems of digital topology.

Keywords

Closure operation, Khalimsky topology, digital topology, Jordan curve theorem

Key words in English

Closure operation, Khalimsky topology, digital topology, Jordan curve theorem

Authors

ŠLAPAL, J.

Released

01.01.2001

Publisher

Elsevier

ISBN

1571-0661

Periodical

ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE

Volume

46

Number

1

State

United States of America

Pages from

1

Pages count

20

URL

http://www.elsevier.nl/locate/entcs/volume46.html

BibTex

@article{BUT39909,
  author="Josef {Šlapal}",
  title="A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane",
  journal="ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE",
  year="2001",
  volume="46",
  number="1",
  pages="20",
  issn="1571-0661",
  url="http://www.elsevier.nl/locate/entcs/volume46.html"
}