On the proximity generated by entire functions
On the quantification of uniform properties.
On the quantification of uniform properties
Approach spaces ([4], [5]) turned out to be a natural setting for the quantification of topological properties. Thus a measure of compactness for approach spaces generalizing the well-known Kuratowski measure of non-compactness for metric spaces was defined ([3]). This article shows that approach uniformities (introduced in [6]) have the same advantage with respect to uniform concepts: they allow a nice quantification of uniform properties, such as total boundedness and completeness.
On the quasi-uniform convergence of transfinite sequences of functions.
On the relationships among the axioms for a metric space and for general axiomatic systems
On the shape of MAR and MANR-spaces
On the structure of the dual complexity space: The general case.
On the surjective span and semispan of connected metric spaces
On the tangency of sets in generalized metric spaces for certain functions of the class
On the tangency of sets in metric spaces
On the topology of -metric spaces and generation of -metric spaces from metric spaces.
On the uniform paracompactness
On the uniform paracompactness of the product of two uniform spaces
On the univalence of quasi-isometric mappings
On the weak-open images of metric spaces
In this paper, we give characterizations of certain weak-open images of metric spaces.
On the weight of nowhere dense subsets in compact spaces.
On the -primitive
On three equivalences concerning Ponomarev-systems
Let be a sequence of covers of a space such that is a network at in for each . For each , let and be endowed the discrete topology. Put forms a network at some point and by choosing for each . In this paper, we prove that is a sequentially-quotient (resp. sequence-covering, compact-covering) mapping if and only if each is a -cover (resp. -cover, -cover) of . As a consequence of this result, we prove that is a sequentially-quotient, -mapping if and only if it is...
On Topological Spaces With Dense Completely Metrizable Subspaces
On topologies generating the Effros Borel structure and on the Effros measurability of the boundary operation