Detail výsledku

Another approach to connectedness with respect to a closure operator

ŠLAPAL, J. Another approach to connectedness with respect to a closure operator. APPLIED CATEGORICAL STRUCTURES, 2009, vol. 17, no. 6, p. 603-612. ISSN: 0927-2852.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

We introduce a new concept of connectedness with respect to a
categorical closure operator. The concept, which is based on using
pseudocomplements in subobject semilattices, naturally generalizes
the classical connectedness of topological spaces and we show that
it also behaves accordingly. Moreover, as the main result, we prove
that the connectedness introduced is preserved, under some natural
conditions, by inverse images of subobjects under quotient
morphisms. An application of this result in digital topology is
discussed too..

Klíčová slova

closure operatror on a category, connectedness, final and quotient morphisms

Rok
2009
Strany
603–612
Časopis
APPLIED CATEGORICAL STRUCTURES, roč. 17, č. 6, ISSN 0927-2852
Vydavatel
Springer
Místo
Heidelberg
BibTeX 
@article{BUT49094,
  author="Josef {Šlapal}",
  title="Another approach to connectedness with respect to a closure operator",
  journal="APPLIED CATEGORICAL STRUCTURES",
  year="2009",
  volume="17",
  number="6",
  pages="603--612",
  issn="0927-2852"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru