Song, Yan-Kui(Universitat Politècnica de València, 2006-04-01)
[EN] A space X has the property (wa) (or is a space with the property (wa)) if for every open cover U of X and every dense subspace D of X, there exists a discrete subspace F C D such that St(F, U) = X. In this paper, we ...
Shah, Sejal; Das, T.K.(Universitat Politècnica de València, 2006-04-01)
[EN] We introduce and study here the notion of nearly Hausdorffness, a separation axiom, stronger than T1 but weaker than T2. For a space X, from a subfamily of the family of nearly Hausdorff spaces, we construct a compact ...
Comfort, W.W.; Raczkowski, S.U.; Trigos-Arrieta, F.J.(Universitat Politècnica de València, 2006-04-01)
[EN] (1) Every infinite, Abelian compact (Hausdorff) group K admits 2|K|- many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to be pseudocompact. (2) Every infinite ...
Lin, Shou(Universitat Politècnica de València, 2006-04-01)
[EN] The purpose of this paper is to give higher cardinality versions of countable fan tightness of function spaces obtained by A. Arhangel’skiı. Let vet(X), ωH(X) and H(X) denote respectively the fan tightness, ω-Hurewicz ...
Raphael, R.; Woods, R.G.(Universitat Politècnica de València, 2006-04-01)
[EN] We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points. It must have a dense set of ...