Uniform homeomorphisms between Banach spaces
Uniform ideal completions
Uniform limits of Darboux functions on the Euclidean plane
Uniform maps into normed spaces
Thirteen properties of uniform spaces are shown to be equivalent. The most important properties seem to be those related to modules of uniformly continuous mappings into normed spaces, and to partitions of unity.
Uniform normality of topological groups and -groups
Uniform quotients of metric spaces
Uniform quotients of metrizable spaces
Uniform regularity of measures on compact spaces.
Uniform regularity of measures on locally compact spaces.
Uniform sequences of -mappings
Uniform shape and uniform Čech homology and cohomology groups for metric spaces
Uniform Space
In this article, we formalize in Mizar [1] the notion of uniform space introduced by André Weil using the concepts of entourages [2]. We present some results between uniform space and pseudo metric space. We introduce the concepts of left-uniformity and right-uniformity of a topological group. Next, we define the concept of the partition topology. Following the Vlach’s works [11, 10], we define the semi-uniform space induced by a tolerance and the uniform space induced by an equivalence relation....
Uniform spaces with easy behavior with respect to coreflections
Uniform stability and semi-stability of motions in dynamical systems on metric spaces
Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.
Uniform topology onEQ-algebras
In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated. In particular, we show that (E, 𝒯) is a first-countable, zero-dimensional, disconnected and completely regular space. Finally, by using convergence of nets, the convergence of topological EQ-algebras is obtained.
Uniform Transformation Groups on Lower Dimensional Spaces.
Uniform weight of uniform quotients
Uniforme Räume mit einer linear geordneten Basis.
Uniformities, Hyperspaces, and Normality.
Uniformities obtained from filter spaces