Некоторые свойства ковариантного функтора P: Comp → Comp вероятностных мер, действующего на категории стратифицируемых пространств

Abstract

In this article, we study the geometric and topological properties of the functor P of probability measures in the category of stratified spaces and continuous mappings into itself. It is proved that the space P(X) of probability measures is AE(S) space. It is proved that the function has the properties of connectivity and hyper geodesicity, connectivity.