On ordered topological spaces
On points of lower and upper quasi-continuity of multivalued maps
On proximity ordered spaces
On quasi-uniform space valued semi-continuous functions
F. van Gool [Comment. Math. Univ. Carolin. 33 (1992), 505–523] has introduced the concept of lower semicontinuity for functions with values in a quasi-uniform space . This note provides a purely topological view at the basic ideas of van Gool. The lower semicontinuity of van Gool appears to be just the continuity with respect to the topology generated by the quasi-uniformity , so that many of his preparatory results become consequences of standard topological facts. In particular, when the order...
On some notions related to compactness for locales
On the Baire order problem for a linear lattice of functions
On the dimension of ordered spaces.
On the equivalence of certain coincidence theorems and fixed point theorems
On the lattice of convexly compatible topologies on a partially ordered set
On the Nachbin compactification of products of totally ordered spaces.
On topologies convexly compatible with the ordering
On treelike neighbourhood spaces
On treelike proximity spaces
Open images of orderable spaces
Order compatibility for Cauchy spaces and convergence spaces.
Order extension of order monomorphisms on a preordered topological space.
Orderability form selections: Another solution to the orderability problem
Orderability of topological spaces by continuous preferences.
Ordered Cauchy spaces.
Ordered compactification of totally ordered spaces.