Publication detail

Topological structuring of the digital plane

ŠLAPAL, J.

Czech title

Topologická strukturace digitální roviny

English title

Topological structuring of the digital plane

Type

journal article - other

Language

en

Original abstract

We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.

Czech abstract

We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.

English abstract

We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.

Keywords in Czech

digital plane, quotient topology, Khalimsky topology, Jordan curve

Keywords in English

digital plane, quotient topology, Khalimsky topology, Jordan curve

RIV year

2013

Released

01.08.2013

Publisher

DMTCS

ISSN

1365-8050

Volume

15

Number

2

Pages from–to

165–176

Pages count

12

BIBTEX


@article{BUT76021,
  author="Josef {Šlapal},
  title="Topological structuring of the digital plane",
  year="2013",
  volume="15",
  number="2",
  month="August",
  pages="165--176",
  publisher="DMTCS",
  issn="1365-8050"
}