SOME PROPERTIES OF THE SPACE OF PROBABILITY MEASURES

Abstract

this note we consider covariant functors acting in the categorie of compacts, preserving the shapes of infinite compacts, ANR -systems, moving compacts, shape equivalence, homotopy equivalence and SRNA) ( properties of compacts. As well as, shape properties of a compact space X consisting of connectedness components 0 of this compact X under the action of covariant functors, are considered. And as we study the shapes equality ShY ShX = of infinite compacts for the space ) (XP of probability measures and its subspaces.