Detail výsledku

On categories of ordered sets with a closure operator

ŠLAPAL, J. On categories of ordered sets with a closure operator. PUBLICATIONES MATHEMATICAE DEBRECEN, 2011, vol. 78, no. 1, p. 61-69. ISSN: 0033-3883.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
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

Category, ordered set, closure operator

Rok
2011
Strany
61–69
Časopis
PUBLICATIONES MATHEMATICAE DEBRECEN, roč. 78, č. 1, ISSN 0033-3883
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"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru