Result Details
Compactification with respect to a generalized-net convergence on constructs
ŠLAPAL, J. Compactification with respect to a generalized-net convergence on constructs. APPLIED CATEGORICAL STRUCTURES, 2011, vol. 19, no. 2, p. 523-537. ISSN: 0927-2852.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract
We study neighborhoods with respect to a categorical
closure operator. In particular, we discuss separation and
compactness obtained from neighborhoods in a natural way and compare
them with the usual closure separation and closure compactness. We
also introduce a concept of convergence based on using centered
systems of subobjects, which naturally generalizes the classical
filter convergence in topological spaces. We investigate behavior of
the convergence introduced and show, among others, that it relates
to the separation and compactness in natural ways.
Keywords
Compactification, generalized-net convergence, constructs
Published
2011
Pages
523–537
Journal
APPLIED CATEGORICAL STRUCTURES, vol. 19, no. 2, ISSN 0927-2852
Publisher
Springer
Place
Netherlands
BibTeX
@article{BUT48737,
author="Josef {Šlapal}",
title="Compactification with respect to a generalized-net convergence on constructs",
journal="APPLIED CATEGORICAL STRUCTURES",
year="2011",
volume="19",
number="2",
pages="523--537",
issn="0927-2852"
}
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