Detail výsledku

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.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

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.

Klíčová slova

Compactification, generalized-net convergence, constructs

Rok
2011
Strany
523–537
Časopis
APPLIED CATEGORICAL STRUCTURES, roč. 19, č. 2, ISSN 0927-2852
Vydavatel
Springer
Místo
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"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru