International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 17-27
doi:10.1155/S0161171299220170
Abstract
In this paper, we analyze the main topological properties of a
relevant class of topologies associated with spaces ordered by preferences
(asymmetric, negatively transitive binary relations). This class consists
of certain continuous topologies which include the order topology. The
concept of saturated identification is introduced in order to provide a
natural proof of the fact that all these spaces possess topological
properties analogous to those of linearly ordered topological spaces,
inter alia monotone and hereditary normality, and complete regularity.