Result Details

Digital Jordan curves

ŠLAPAL, J. Digital Jordan curves. TOPOLOGY AND ITS APPLICATIONS, 2006, vol. 153, no. 10, 10 p. ISSN: 0166-8641.

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc., IM (FME)

Abstract

A new topology is defined on the digital plane and then studied. In particular, an analogy of the Jordan curve theorem is proved for this topology. Some applications of the results obtained are discussed, too.

Keywords

Topological space, Alexandroff topology, Marcus topology, Khalimsky topology, Jordan curve

Published

2006

Pages

Journal

TOPOLOGY AND ITS APPLICATIONS, vol. 153, no. 10, ISSN 0166-8641

BibTeX

@article{BUT43389,
  author="Josef {Šlapal}",
  title="Digital Jordan curves",
  journal="TOPOLOGY AND ITS APPLICATIONS",
  year="2006",
  volume="153",
  number="10",
  pages="10",
  issn="0166-8641"
}

Departments

Institute of Mathematics (IM)