Uniformizable Cauchy spaces.
Uniformization of Convergence Spaces. Part I. Definitions and Fundamental Constructions.
Uniformization of Convergence Spaces Part II: Conjugate Convergence Structures and Bi-Structures.
Universal metric spaces
Universal spaces in the theory of transfinite dimension, II
We construct a family of spaces with “nice” structure which is universal in the class of all compact metrizable spaces of large transfinite dimension , or, equivalently, of small transfinite dimension ; that is, the family consists of compact metrizable spaces whose transfinite dimension is , and every compact metrizable space with transfinite dimension is embeddable in a space of the family. We show that the least possible cardinality of such a universal family is equal to the least possible...
Urysohn’s lemma, gluing lemma and contraction mapping theorem for fuzzy metric spaces
In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.