Publication detail

Compactification with respect to a generalized-net convergence on constructs

ŠLAPAL, J.

Czech title

Compactification with respect to a generalized-net convergence on constructs

English title

Compactification with respect to a generalized-net convergence on constructs

Type

journal article - other

Language

en

Original abstract

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.

Czech abstract

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.

English abstract

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.

Keywords in Czech

Compactification, generalized-net convergence, constructs

Keywords in English

Compactification, generalized-net convergence, constructs

RIV year

2011

Released

18.03.2011

Publisher

Springer

Location

Netherlands

ISSN

0927-2852

Journal

Applied Categorical Structures

Volume

19

Number

2

Pages from–to

523–537

Pages count

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"
}