Detail výsledku

Neighborhoods and convergence with respect to a closure operator

ŠLAPAL, J. Neighborhoods and convergence with respect to a closure operator. Mathematica Slovaca, 2011, vol. 61, no. 5, p. 717-732. ISSN: 0139-9918.
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

Neighborhoods, convergence, closure operator

Rok
2011
Strany
717–732
Časopis
Mathematica Slovaca, roč. 61, č. 5, ISSN 0139-9918
BibTeX 
@article{BUT47016,
  author="Josef {Šlapal}",
  title="Neighborhoods and convergence with respect to a closure operator",
  journal="Mathematica Slovaca",
  year="2011",
  volume="61",
  number="5",
  pages="717--732",
  issn="0139-9918"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru