Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we ...
[EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, ...
[EN] The main purpose of this paper is to identify topologies on the closed subsets C(X) of a Hausdorff space X that are sequentially equivalent to classical Kuratowski-Painleve convergence K. This reduces to a study of ...
Beer, Gerald; Rodríguez López, Jesús(Michigan State University Press, 2010)
A function gg between directed sets ⟨Σ,⪰′⟩⟨Σ,⪰′⟩ and ⟨Λ,⪰⟩⟨Λ,⪰⟩ is called \emph{ultimately increasing} if for each σ1∈Σσ1∈Σ there exists σ2⪰′σ1σ2⪰′σ1 such that σ⪰′σ2⇒g(σ)⪰g(σ1)σ⪰′σ2⇒g(σ)⪰g(σ1). A subnet of a net aa defined ...