Extending metrics uniformly
Extending Stechkin's theorem and beyond.
Extension and reconstruction theorems for the Urysohn universal metric space
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
Extension of Lipschitz mappings on metric trees
Extension of locally uniformly equivalent metrics
Extensions of Ćirić generalised contractions
Extensions of compact continuous maps into decomposable sets
Extensions of functions defined on product spaces
Extensions of generic measure-preserving actions
We show that, whenever is a countable abelian group and is a finitely-generated subgroup of , a generic measure-preserving action of on a standard atomless probability space extends to a free measure-preserving action of on . This extends a result of Ageev, corresponding to the case when is infinite cyclic.
Extensions of metrization theorems to higher cardinality
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.
Extensions of Semicontinuous Multifunctions.
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.