Result Details

Another Jordan Curve Theorem in the topological space (Z^2,w).

ŠLAPAL, J. Another Jordan Curve Theorem in the topological space (Z^2,w). In Topology Proceedings. Topology Proceedings. Alabama 36849, USA: Auburn University, 2014. no. 1, p. 47-56. ISSN: 0146-4124.
Type
conference paper
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract

As an alternative to the Khalimsky topology, the topology w on the digital plane Z^2
was introduced by the author of this note who also proved a Jordan curve theorem for it. It the present paper,
another Jordan curve theorem for the topology w is proved determining a large variety of Jordan curves in the topological space (Z^2,w).

Keywords

Alexandroff topology, quotient topology, digital plane, Jordan curve

Published
2014
Pages
47–56
Journal
Topology Proceedings, vol. 43, no. 1, ISSN 0146-4124
Proceedings
Topology Proceedings
Conference
28th Summer Conference on Topology and its Applications
Publisher
Auburn University
Place
Alabama 36849, USA
EID Scopus
2-s2.0-84904799262
BibTeX 
@inproceedings{BUT76115,
  author="Josef {Šlapal}",
  title="Another Jordan Curve Theorem in the topological space (Z^2,w).",
  booktitle="Topology Proceedings",
  year="2014",
  journal="Topology Proceedings",
  volume="43",
  number="1",
  pages="47--56",
  publisher="Auburn University",
  address="Alabama 36849, USA
",
  issn="0146-4124"
}
Departments
Institute of Mathematics (IM)
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