Detail publikace

Neighborhoods and convergence with respect to a closure operator

ŠLAPAL, J.

Anglický název

Neighborhoods and convergence with respect to a closure operator

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální 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 anglicky

Neighborhoods, convergence, closure operator

Vydáno

2011-08-25

ISSN

0139-9918

Časopis

Mathematica Slovaca

Ročník

61

Číslo

5

Strany od–do

717–732

Počet stran

16

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"
}