Publication detail

Another approach to connectedness with respect to a closure operator

ŠLAPAL, J.

English title

Another approach to connectedness with respect to a closure operator

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

We introduce a new concept of connectedness with respect to a categorical closure operator. The concept, which is based on using pseudocomplements in subobject semilattices, naturally generalizes the classical connectedness of topological spaces and we show that it also behaves accordingly. Moreover, as the main result, we prove that the connectedness introduced is preserved, under some natural conditions, by inverse images of subobjects under quotient morphisms. An application of this result in digital topology is discussed too..

Keywords in English

closure operatror on a category, connectedness, final and quotient morphisms

Released

2009-11-01

Publisher

Springer

Location

Heidelberg

ISSN

0927-2852

Journal

APPLIED CATEGORICAL STRUCTURES

Volume

17

Number

6

Pages from–to

603–612

Pages count

10

BIBTEX


@article{BUT49094,
  author="Josef {Šlapal}",
  title="Another approach to connectedness with respect to a closure operator",
  journal="APPLIED CATEGORICAL STRUCTURES",
  year="2009",
  volume="17",
  number="6",
  pages="603--612",
  issn="0927-2852"
}