학술저널
Compactness of The Borel Probability Measure
- 호서대학교 기초과학연구소
- 기초과학연구 논문집
- 제21권 제1호
-
2013.121 - 7 (7 pages)
- 0
Given a compact metric space (X,d), we denote by M(X) the set of all Borel probability measures in X . To show that M(X) is metrizable, we will define metric p :/M (X) X M (X) →R0+ by p(μ,v) = ∑∞n=1 2n/1 I ∫x φ ndv I. Finally, we prove that If is a compact metric space, then a metric space (M (X),p) is compact.
1. Introduction and Preliminaries
2. Compactness of the Borel Probability Measure
(0)
(0)