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"
}