usco映射中的空一映射
Baire-one mappings contained in a usco map
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.
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