Publication detail

Topological structuring of the digital plane

ŠLAPAL, J.

English title

Topological structuring of the digital plane

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

Keywords in English

digital plane, quotient topology, Khalimsky topology, Jordan curve

Released

2013-08-01

Publisher

DMTCS

ISSN

1365-8050

Journal

DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE

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",
  journal="DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE",
  year="2013",
  volume="15",
  number="2",
  pages="165--176",
  issn="1462-7264",
  url="https://dmtcs.episciences.org/601"
}