Unification of Some Concepts Similar to the Lindelöf Property
Unified spaces and singular sets for mappings of locally compact spaces
Uniform approximation for sublattices of .
Uniform completeness of topological spaces
Uniform ideal completions
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
Uniformities, Hyperspaces, and Normality.
Uniformly, proximally and topologically compact relators.
Uniformly smooth partitions of unity on superreflexive Banach spaces
Uniqueness theorems for the representation ...(f(x)g(y) + h(y)).
Universal rational spaces [Book]
Universality of the μ-predictor
For suitable topological spaces X and Y, given a continuous function f:X → Y and a point x ∈ X, one can determine the value of f(x) from the values of f on a deleted neighborhood of x by taking the limit of f. If f is not required to be continuous, it is impossible to determine f(x) from this information (provided |Y| ≥ 2), but as the author and Alan Taylor showed in 2009, there is nevertheless a means of guessing f(x), called the μ-predictor, that will be correct except on a small set; specifically,...
Universally image partition regularity.
Un’osservazione su una sottoalgebra di
Upper semicontinuous decompositions of spaces having bases of countable order
Valdivia compact abelian groups.
Valdivia compacta and equivalent norms
We prove that the dual unit ball of a Banach space X is a Corson compactum provided that the dual unit ball with respect to every equivalent norm on X is a Valdivia compactum. As a corollary we show that the dual unit ball of a Banach space X of density is Corson if (and only if) X has a projectional resolution of the identity with respect to every equivalent norm. These results answer questions asked by M. Fabian, G. Godefroy and V. Zizler and yield a converse to Amir-Lindenstrauss’ theorem.
Variations of uniform completeness related to realcompactness
Various characterizations of realcompactness are transferred to uniform spaces giving non-equivalent concepts. Their properties, relations and characterizations are described in this paper. A Shirota-like characterization of certain uniform realcompactness proved by Garrido and Meroño for metrizable spaces is generalized to uniform spaces. The paper may be considered as a unifying survey of known results with some new results added.
Variations on the Banach-Stone theorem.