RT journal article
T1 On Focal Borel Probability Measures
A1 García Pacheco, Francisco Javier
A1 Rivero-Dones, Jorge
A1 Villegas Vallecillos, Moisés
A2 Matemáticas
K1 borel σ-algebra
K1 probability measure
K1 compact Hausdorff topological space
K1 compact metric space
AB 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.
PB MDPI
SN 2227-7390
YR 2022
FD 2022-11
LK http://hdl.handle.net/10498/28545
UL http://hdl.handle.net/10498/28545
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026