Some Topological Properties of the Space of Probability Measures.

Autor: Yuldashev, T. K., Mukhamadiev, F. G.
Zdroj: Lobachevskii Journal of Mathematics; Nov2022, Vol. 43 Issue 11, p3310-3314, 5p
Abstrakt: In this work, the separability, locally separability, weakly separability and locally weakly separability of the space of probability measures of an infinite compact space are studied. It is proved that an infinite compact space is a separable (locally separable), if and only if the space is a separable (locally separable). It was also proved that, if a space is a weakly separable (locally weakly separable), then the space is a weakly separable (locally weakly separable). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index