Detail publikačního výsledku

Neighborhoods and convergence with respect to a closure operator

ŠLAPAL, J.

Originální název

Neighborhoods and convergence with respect to a closure operator

Anglický název

Neighborhoods and convergence with respect to a closure operator

Druh

Článek recenzovaný mimo WoS a Scopus

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.

Anglický 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

Klíčová slova v angličtině

Neighborhoods, convergence, closure operator

Autoři

ŠLAPAL, J.

Rok RIV

2012

Vydáno

25.08.2011

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Svazek

61

Číslo

5

Stát

Slovenská republika

Strany od

717

Strany do

732

Strany počet

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"
}