Entropic dimension of uniform spaces
Epireflections which are completions
Equi-reflective subcategories of uniform spaces
Espaces fonctionnels quasi-uniformes
Espaces uniformes et espaces de mesures
Exponential law for uniformly continous proper maps.
The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
Extensions of uniform structures
Extraresolvability of balleans
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space.
E-Zusammenhängende Räume.
Factorization and inverse expansion theorems for uniformities
Factorization of mappings (products of proximally fine spaces)
Factorization theorems for extensions of maps
Fantastic filters of lattice implication algebras.
𝓤-filters and uniform compactification
We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.
Filtres lents et espaces hypercomplets
Fine and simply fine uniform spaces
Fine topology on function spaces.
Fineness in the category of all 0-dimensional uniform spaces
Finite dimensional covers of metric-fine spaces
Firm reflections generated by complete metric spaces