Detail publikace

On categories of ordered sets with a closure operator

ŠLAPAL, J.

Anglický název

On categories of ordered sets with a closure operator

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

We define and study two categories of partially ordered sets endowed with a closure operator. The first category has order-preserving and continuous maps as morphisms and it is shown to be concretely isomorphic to a category of ordered sets endowed with a compatible preorder. The second category studied has closed maps as morphisms and it is proved to be cartesian closed. As examples, consequences of these results for categories of the usual closure operators and, in particular, of topological spaces are discussed.

Klíčová slova anglicky

Category, ordered set, closure operator

Vydáno

2011-01-01

ISSN

0033-3883

Časopis

PUBLICATIONES MATHEMATICAE DEBRECEN

Ročník

78

Číslo

1

Strany od–do

61–69

Počet stran

9

BIBTEX


@article{BUT49215,
  author="Josef {Šlapal}",
  title="On categories of ordered sets with a closure operator",
  journal="PUBLICATIONES MATHEMATICAE DEBRECEN",
  year="2011",
  volume="78",
  number="1",
  pages="61--69",
  issn="0033-3883"
}