Publication detail

A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane

ŠLAPAL, J.

Czech title

Jordanova věta vzhledem k jistým uzávěrovým operacím na digitálbí rovině

English title

A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane

Type

journal article - other

Language

en

Original abstract

We introduce and study closure operations on ZxZ which generalize the Khalimsky topology.By proving a digital analogy of the Jordan curve theorem for these closure operations, we show that they are suitable for solving problems of digital topology.

Czech abstract

Viz anotaci v anglictine.

English abstract

We introduce and study closure operations on ZxZ which generalize the Khalimsky topology.By proving a digital analogy of the Jordan curve theorem for these closure operations, we show that they are suitable for solving problems of digital topology.

Keywords in Czech

Viz klicova slova v anglictine

Keywords in English

Closure operation, Khalimsky topology, digital topology, Jordan curve theorem

RIV year

2002

Released

01.01.2001

Publisher

Elsevier

ISSN

1571-0661

Journal

ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE

Volume

46

Number

1

Pages count

20

BIBTEX


@article{BUT39909,
  author="Josef {Šlapal},
  title="A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane",
  journal="ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE",
  year="2001",
  volume="46",
  number="1",
  month="January",
  publisher="Elsevier",
  issn="1571-0661"
}