Detail publikace

Compactification with respect to a generalized-net convergence on constructs

ŠLAPAL, J.

Český název

Compactification with respect to a generalized-net convergence on constructs

Anglický název

Compactification with respect to a generalized-net convergence on constructs

Typ

článek v časopise - ostatní, Jost

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.

Český 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 česky

Compactification, generalized-net convergence, constructs

Klíčová slova anglicky

Compactification, generalized-net convergence, constructs

Rok RIV

2011

Vydáno

18.03.2011

Nakladatel

Springer

Místo

Netherlands

ISSN

0927-2852

Časopis

Applied Categorical Structures

Ročník

19

Číslo

2

Strany od–do

523–537

Počet stran

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",
  month="March",
  pages="523--537",
  publisher="Springer",
  address="Netherlands",
  issn="0927-2852"
}