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arXiv 1112.4166math.GNmath.MG
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关于严格凸拓扑空间上的Pliquid度量

On Pliś metric on the space of strictly convex compacta

Maxim V. Balashov, Dušan Repovš

摘要:

本文考虑了A. Pliyoung.严格凸群的集合是凸群的度量空间关于这个度量的完备度量子空间。我们提出了一些应用这个度量的集值分析的问题,特别是我们估计两个紧集之间的距离相对于这个度量和Hausdorff度量。

英文摘要:

We consider a certain metric on the space of all convex compacta in $\R^{n}$, introduced by A. Pliś. The set of strictly convex compacta is a complete metric subspace of the metric space of convex compacta with respect to this metric. We present some applications of this metric to the problems of set-valued analysis, in particular we estimate the distance between two compact sets with respect to this metric and to the Hausdorff metric.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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