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On uniform metrizability of the functor of idempotent probability measures
uniformly metrizability of functors idempotent probability measures General Topology
2012/4/17
In the present paper we show that the functor of idempotent probability measures satisfies all of conditions with an additional claim of uniform metrizability of functors.
Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
2011/8/26
Abstract: The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zer...
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Surface measures convergence of the Ornstein-Uhlenbeck semigroup Wiener spaces
2010/11/26
We study points of density 1/2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this clas...