Publication detail

Another approach to connectedness with respect to a closure operator

ŠLAPAL, J.

Original Title

Another approach to connectedness with respect to a closure operator

Type

journal article - other

Language

English

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

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

Authors

ŠLAPAL, J.

RIV year

2009

Released

1. 11. 2009

Publisher

Springer

Location

Heidelberg

ISBN

0927-2852

Periodical

Applied Categorical Structures

Year of study

17

Number

6

State

Kingdom of the Netherlands

Pages from

603

Pages to

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"
}