Continuous interior selections in nonnormable spaces

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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Continuous interior selections in nonnormable spaces

Cited by 2 publications

References 13 publications

Interior Points of Convex Compact and Continuous Selections of Exact Measures

Interior Points of Convex Compact and Continuous Selections of Exact Measures

Interior points of convex compactа and continuous choice of exact measures

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