Sequeira, Luís(Universitat Politècnica de València, 2004-10-01)
[EN] Two new families of separation conditions have arisen in the study of the impact that the algebraic properties of topological algebras have on the topologies that may occur on their underlying spaces. We describe the ...
Dow, Alan; Porter, Jack R.; Stephenson, R.M.; Grant Woods, R.(Universitat Politècnica de València, 2004-10-01)
[EN] Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”). We study the property FCC and several closely related ...
Alas, Ofelia T.; Wilson, Richard G.(Universitat Politècnica de València, 2004-10-01)
[EN] We give a new characterization of those topologies which have an immediate successor or cover in the lattice of T1-topologies on a set and show that certain classes of compact and countably compact topologies do not ...
Candeal, Juan C.; Induráin, Esteban; Zudaire, M.(Universitat Politècnica de València, 2004-10-01)
[EN] In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous ...
[EN] In this paper we study properties of relative collectionwise normality type based on relative properties of normality type introduced by Arhangel’skii and Genedi. Theorem Suppose Y is strongly regular in the space X. ...