Detail publikačního výsledku

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

ŠLAPAL, J.

Originální název

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

Anglický název

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

Druh

Článek recenzovaný mimo WoS a Scopus

Originální 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.

Anglický 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.

Klíčová slova v angličtině

Jordan curve, topology, quotient pretopology.

Autoři

ŠLAPAL, J.

Rok RIV

2010

Vydáno

21.09.2009

Nakladatel

Springer

ISSN

0302-9743

Periodikum

Lecture Notes in Computer Science

Svazek

5810

Číslo

1

Stát

Spolková republika Německo

Strany od

252

Strany do

262

Strany počet

11

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"
}