Publication result detail

Compactification with respect to a generalized-net convergence on constructs

ŠLAPAL, J.

Original Title

Compactification with respect to a generalized-net convergence on constructs

English Title

Compactification with respect to a generalized-net convergence on constructs

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

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

Compactification, generalized-net convergence, constructs

Key words in English

Compactification, generalized-net convergence, constructs

Authors

ŠLAPAL, J.

RIV year

2011

Released

18.03.2011

Publisher

Springer

Location

Netherlands

ISBN

0927-2852

Periodical

APPLIED CATEGORICAL STRUCTURES

Volume

19

Number

2

State

Kingdom of the Netherlands

Pages from

523

Pages to

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",
  pages="523--537",
  issn="0927-2852"
}