Chasco, M. J.; Martin-Peinador, E.(Universitat Politècnica de València, 2001-10-01)
[EN] An Abelian topological group G is strongly reflexive if every closed subgroup and every Hausdorff quotient of G and of its dual group G⋀, is reflexive. In this paper we prove the following: the annihilator of a closed ...
Gutev, Valentin; Nogura, Tsugunori(Universitat Politècnica de València, 2001-10-01)
[EN] Every selection f for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation on X by if and only . In the present paper we study the relationship between and the possible ...
Arenas, F.G.; Sánchez Granero, M.A.(Universitat Politècnica de València, 2001-10-01)
[EN] In this paper we introduce the concept of directed fractal structure, which is a generalization of the concept of fractal structure (introduced by the authors). We study the relation with transitive quasiuniformities ...
Cao, Jiling; Greenwood, Sina; Reilly, Ivan L.(Universitat Politècnica de València, 2001-10-01)
[EN] We investigate various classes of generalized closed sets of a topological space in a unified way by studying the notion of qr-closed sets. New characterizations of some existing classes of generalized closed sets and ...