Detail publikačního výsledku

Another approach to connectedness with respect to a closure operator

ŠLAPAL, J.

Originální název

Another approach to connectedness with respect to a closure operator

Anglický název

Another approach to connectedness with respect to a closure operator

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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..

Anglický abstrakt

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..

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŠLAPAL, J.

Rok RIV

2010

Vydáno

01.11.2009

Nakladatel

Springer

Místo

Heidelberg

ISSN

0927-2852

Periodikum

APPLIED CATEGORICAL STRUCTURES

Svazek

17

Číslo

6

Stát

Nizozemsko

Strany od

603

Strany do

612

Strany počet

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"
}