%0 Journal Article 
%A García Pacheco, Francisco Javier
%A Rivero-Dones, Jorge
%A Villegas Vallecillos, Moisés
%T On Focal Borel Probability Measures
%D 2022
%@ 2227-7390
%U http://hdl.handle.net/10498/28545
%X The novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open subset. We also prove the existence of focal Borel probability measures on compact metric spaces. Lastly, we prove that the set of focal (regular) Borel probability measures is convex but not extremal in the set of all (regular) Borel probability measures.
%K borel σ-algebra
%K probability measure
%K compact Hausdorff topological space
%K compact metric space
%~ Universidad de Cádiz