Publication detail

Closure operations for digital topology

ŠLAPAL, J.

Czech title

Uzávěrové operace pro digitální topologii

English title

Closure operations for digital topology

Type

journal article - other

Language

en

Original abstract

We study certain generalized topological structures, called closure operations, that are associated with relations whose arities are arbitrary ordinals. It turns out that some of these structures are well behaved with respect to connectedness and suitable for applications to digital topology.

Czech abstract

Jsou studovány jisté zobecněné topologické struktury nazývané uzávěrové operace, které jsou asociované s relacemi, jejichž arity jsou libovolné ordinály. Je ukázáno, že některé z těchto struktur se chovají vhodně vzhledem k souvislosti a jsou proto vhodné pro aplikace v digitální topologii.

English abstract

We study certain generalized topological structures, called closure operations, that are associated with relations whose arities are arbitrary ordinals. It turns out that some of these structures are well behaved with respect to connectedness and suitable for applications to digital topology.

Keywords in Czech

Uzávěrová operace, digitální topologie, Khalimského topologie, Jordanova věta.

Keywords in English

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

Released

01.01.2003

Publisher

Elsevier

Location

Francie

ISSN

0304-3975

Journal

Theoretical Computer Science

Volume

305

Number

1-3

Pages from–to

457–471

Pages count

15

BIBTEX


@article{BUT41466,
  author="Josef {Šlapal},
  title="Closure operations for digital topology",
  journal="Theoretical Computer Science",
  year="2003",
  volume="305",
  number="1-3",
  month="January",
  pages="457--471",
  publisher="Elsevier",
  address="Francie",
  issn="0304-3975"
}