Detail výsledku

Jordan curve theorems with respect to certain pretopologies on Z^2

ŠLAPAL, J. Jordan curve theorems with respect to certain pretopologies on Z^2. Lecture Notes in Computer Science, 2009, vol. 5810, no. 1, p. 252-262. ISSN: 0302-9743.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

We discuss four quotient pretopologies of a certain
basic topology on the digital plane. Three of them are even topologies
and include the well-known Khalimsky and Marcus-Wyse topologies.
Some known Jordan curves in the basic topology are used to prove
Jordan curve theorems that identify Jordan curves among simple
closed ones in each of the four quotient pretopologies.

Klíčová slova

Jordan curve, topology, quotient pretopology.

Rok
2009
Strany
252–262
Časopis
Lecture Notes in Computer Science, roč. 5810, č. 1, ISSN 0302-9743
Vydavatel
Springer
BibTeX 
@article{BUT49487,
  author="Josef {Šlapal}",
  title="Jordan curve theorems with respect to certain pretopologies on Z^2",
  journal="Lecture Notes in Computer Science",
  year="2009",
  volume="5810",
  number="1",
  pages="252--262",
  issn="0302-9743"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru