Geometrical and Topological Properties of a Subspace Pf(X) of Probability Measures
Adilbek Atakhanovich Zaitov · Russian Mathematics · 2019
We prove that for a compact X , the space P f ( X ) is an absolute neighbourhood retract if and only if X is an absolute neighbourhood retract. Further, we demonstrate that a functor P f preserves the property of a compact to be Q -manifold or Hilbert cube, preserves the property for leaves of maps to be absolute neighbourhood retracts in the class of compacts, to be Q -manifold or Hilbert cube (finite sum of Hilbert cubes).