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arXiv math/0604238math.GN
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usco映射中的空一映射

Baire-one mappings contained in a usco map

Ondřej F. K. Kalenda

摘要:

研究了图包含在usco映射图中的白一函数。特别证明了定义在度量空间上的值在$\mathbb{R}^d$中的函数是一列连续函数的逐点极限,该函数的图包含在公共usco映射的图中.

英文摘要:

We investigate Baire-one functions whose graph is contained in a graph of usco mapping. We prove in particular that such a function defined on a metric space with values in $\mathbb{R}^d$ is the pointwise limit of a sequence of continuous functions with graphs contained in the graph of a common usco map.

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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