Detail publikačního výsledku

Compactification with respect to a generalized-net convergence on constructs

ŠLAPAL, J.

Originální název

Compactification with respect to a generalized-net convergence on constructs

Anglický název

Compactification with respect to a generalized-net convergence on constructs

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

Compactification, generalized-net convergence, constructs

Klíčová slova v angličtině

Compactification, generalized-net convergence, constructs

Autoři

ŠLAPAL, J.

Rok RIV

2011

Vydáno

18.03.2011

Nakladatel

Springer

Místo

Netherlands

ISSN

0927-2852

Periodikum

APPLIED CATEGORICAL STRUCTURES

Svazek

19

Číslo

2

Stát

Nizozemsko

Strany od

523

Strany do

537

Strany počet

15

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"
}