Detail výsledku

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, iss. 1, p. 1-20. ISSN: 1571-0661.
Typ
článek v časopise
Jazyk
angličtina
Autoři
Šlapal Josef, prof. RNDr., CSc.
Abstrakt

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.

Klíčová slova

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

URL
Rok
2001
Strany
20
Časopis
ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, roč. 46, č. 1, ISSN 1571-0661
Vydavatel
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"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru