Detail výsledku

A digital pretopology and one of its quotients

ŠLAPAL, J. A digital pretopology and one of its quotients. Topology Proceedings, 2012, vol. 39, no. 2, p. 13-25. ISSN: 0146-4124.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

We introduce a certain pretopology on the digital plane $\mathbb Z^2$
and present a digital analogue of the Jordan curve
theorem for for it. We then discuss a topology on $\mathbb Z^2$ which is shown to be
a quotient pretopology of the pretopology introduced. This fact is used to prove a digital Jordan curve theorem also for this topology.

Klíčová slova

Pretopology, quotient pretopology, digital plane, Jordan curve

Rok
2012
Strany
13–25
Časopis
Topology Proceedings, roč. 39, č. 2, ISSN 0146-4124
BibTeX 
@article{BUT50374,
  author="Josef {Šlapal}",
  title="A digital pretopology and one of its quotients",
  journal="Topology Proceedings",
  year="2012",
  volume="39",
  number="2",
  pages="13--25",
  issn="0146-4124"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru