Abstract
In this article, we study the geometric and topological properties of the probability measures functor P in the category of stratified spaces and continuous mappings into itself. It is proved that the space P(X) of probability measures is a AE(S) space. Bibliography: 8 titles. Keywords: functors, probabilities measures, stratifiable spaces, huperconnected, hupergeodesic, equiconnected, petraction, neighborhood.
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