Burdick, Bruce S.(Universitat Politècnica de València, 2003-04-01)
[EN] We investigate the use of nets indexed by preorders in uniform spaces. Nine different Cauchy conditions and four different convergence conditions yield 36 completeness properties, each of which turns out to be equivalent ...
Brümmer, Guillaume C.L.; Sioen, M.(Universitat Politècnica de València, 2003-04-01)
[EN] We show that there exists at least a proper class of functorial approach structures, i.e., right inverses to the forgetful functor T : AP→ Top (where AP denotes the topological construct of approach spaces and ...
Mucuk, Osman; Icen, Ilhan(Universitat Politècnica de València, 2003-04-01)
[EN] Let G be a groupoid and W be a subset of G which contains all the identities and has a topology. With some conditions on G and W, the pair (G;W) is called a locally topological groupoid. We explain a criterion for a ...
Hosobuchi, Masami(Universitat Politècnica de València, 2003-04-01)
[EN] The notion of the Sδ-diagonal was introduced by H. R. Bennett to study the quasi-developability of linearly ordered spaces. In an earlier paper, we obtained a characterization of topological spaces with an Sδ-diagonal ...
Waszkiewicz, Pawel(Universitat Politècnica de València, 2003-04-01)
[EN] We introduce a general notion of distance in weakly separated topological spaces. Our approach differs from existing ones since we do not assume the reflexivity axiom in general. We demonstrate that our partial ...