Result Details

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

ŠLAPAL, J. A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane. ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2001, vol. 46, no. 1, 20 p. ISSN: 1571-0661.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc.
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

URL
Published
2001
Pages
20
Journal
ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, vol. 46, no. 1, ISSN 1571-0661
Publisher
Elsevier
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"
}
Departments
Institute of Mathematics (IM)
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