Ordered spaces and quasi-uniformities on spaces of continuous order-preserving functions.

@article{Nailana2000,
abstract = {In this paper we introduce and investigate the notions of point open order topology, compact open order topology, the order topology of quasi-uniform pointwise convergence and the order topology of quasi-uniform convergence on compacta. We consider the functorial correspondence between function spaces in the categories of topological spaces, bitopological spaces and ordered topological spaces. We obtain extensions to the topological ordered case of classical topological results on function spaces. We also investigate the property of strict complete regularity of these function spaces.},
author = {Nailana, Koena Rufus},
journal = {Extracta Mathematicae},
keywords = {Topología del orden; Espacios topológicos; Espacio de funciones continuas; ordered topological space; compact-open topology; topology of quasi-uniform convergence on compacta; point-open topology; strictly completely regular ordered},
language = {eng},
number = {3},
pages = {513-530},
title = {Ordered spaces and quasi-uniformities on spaces of continuous order-preserving functions.},
url = {http://eudml.org/doc/38641},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Nailana, Koena Rufus
TI - Ordered spaces and quasi-uniformities on spaces of continuous order-preserving functions.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 3
SP - 513
EP - 530
AB - In this paper we introduce and investigate the notions of point open order topology, compact open order topology, the order topology of quasi-uniform pointwise convergence and the order topology of quasi-uniform convergence on compacta. We consider the functorial correspondence between function spaces in the categories of topological spaces, bitopological spaces and ordered topological spaces. We obtain extensions to the topological ordered case of classical topological results on function spaces. We also investigate the property of strict complete regularity of these function spaces.
LA - eng
KW - Topología del orden; Espacios topológicos; Espacio de funciones continuas; ordered topological space; compact-open topology; topology of quasi-uniform convergence on compacta; point-open topology; strictly completely regular ordered
UR - http://eudml.org/doc/38641
ER -