Detail publikace

Compactness and convergence with respect to a neighborhood operator

ŠLAPAL, J.

Anglický název

Compactness and convergence with respect to a neighborhood operator

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

We introduce a concept of neighborhood operator on a category. Such an operator is obtained by assigning to every atom of the subobject lattice of a given object a centered stack of subobjects of the object subject to two axioms. We study separation, compactness and convergence defined in a natural way by the help of a neighborhood operator. We show that they behave analogously to the separation, compactness and convergence in topological spaces. We also investigate relationships between the separation and compactness as defined on one hand and those with respect to the closure operator induced by the neighborhood operator considered on the other hand.

Klíčová slova anglicky

Closure and neighborhood operators on categories, separation, compactness, convergence

Vydáno

2012-04-13

ISSN

0010-0757

Časopis

Collectanea Mathematica

Ročník

63

Číslo

2

Strany od–do

123–137

Počet stran

15

BIBTEX


@article{BUT48576,
  author="Josef {Šlapal}",
  title="Compactness and convergence with respect to a neighborhood operator",
  journal="Collectanea Mathematica",
  year="2012",
  volume="63",
  number="2",
  pages="123--137",
  issn="0010-0757"
}