Result Details
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.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract
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..
Keywords
closure operatror on a category, connectedness, final and quotient morphisms
Published
2009
Pages
603–612
Journal
APPLIED CATEGORICAL STRUCTURES, vol. 17, no. 6, ISSN 0927-2852
Publisher
Springer
Place
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"
}
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