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Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
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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...
Hyperspaces of finite ray-graphs
hyperspaces finite graphs
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2011/1/19
In this paper we consider the hyperspace Cn(X) of closed, con-nected, non-empty subsets of a base space X. The class of base spaces we consider we call finite ray-graphs, and are a noncompact variatio...
Generalized Hyperspaces and Non-Metrizable Fractals
Generalized Hyperspaces Non-Metrizable Fractals
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2010/11/23
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the behavior of compact set...