Abstract

Для метрического пространства $M$ доказано наличие непрерывных отображений $\{M_n\}^{\infty}_{n=1}$, каждое из которых любому компакту $K \subset M$ ставит в соответствие вероятностную меру $M_n(K)$ с носителем $\operatorname{supp}(M_n(K)) = K$ таким образом, что множество $\{M_n(K)\}^{\infty}_{n=1}$ плотно в пространстве вероятностных мер на $K$.

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