Fan-Gottesman type compactification of frames
Finite -spaces and universal mappings
First countable spaces without point-countable π-bases
We answer several questions of V. Tkachuk [Fund. Math. 186 (2005)] by showing that ∙ there is a ZFC example of a first countable, 0-dimensional Hausdorff space with no point-countable π-base (in fact, the minimum order of a π-base of the space can be made arbitrarily large); ∙ if there is a κ-Suslin line then there is a first countable GO-space of cardinality κ⁺ in which the order of any π-base is at least κ; ∙ it is consistent to have a first countable,...
Fixed point theorems for pseudo-monotone multifunctions
Fixed points of discontinuous multivalued operators in ordered spaces with applications.
Frames in Priestley's duality
Function Lipschitzian mappings on convex metric spaces
Function spaces and adjoints.