On the Problem of Continuous Selections for Upper Semicontinuous Maps

Shu Wen XIANG

Acta Mathematica Sinica, Chinese Series ›› 2000, Vol. 43 ›› Issue (2) : 329-336.

PDF(441 KB)
PDF(441 KB)
Acta Mathematica Sinica, Chinese Series ›› 2000, Vol. 43 ›› Issue (2) : 329-336. DOI: 10.12386/A2000sxxb0044
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On the Problem of Continuous Selections for Upper Semicontinuous Maps

  • Shu Wen XIANG
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Abstract

The purpose of this paper is to give a further study on the existence of continuous selections for upper semicontinuous multivalued maps. First we show that a statement in Aubin J. P.[1] about continuous selections is not correct by a counter example. Next we obtain some results with uniform approximation about selectionable properties of upper semicontinuous maps.

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Shu Wen XIANG. On the Problem of Continuous Selections for Upper Semicontinuous Maps. Acta Mathematica Sinica, Chinese Series, 2000, 43(2): 329-336 https://doi.org/10.12386/A2000sxxb0044
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