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arXiv · 0811.3945

Selections, Extensions and Collectionwise Normality

Valentin Gutev·Narcisse Roland Loufouma Makala
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Abstract

We demonstrate that the classical Michael selection theorem for l.s.c. mappings with a collectionwise normal domain can be reduced only to compact-valued mappings modulo Dowker's extension theorem for such spaces. The idea used to achieve this reduction is also applied to get a simple direct proof of that selection theorem of Michael's. Some other possible applications are demonstrated as well.

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Valentin Gutev, Narcisse Roland Loufouma Makala. 2008-11-24. Selections, Extensions and Collectionwise Normality. https://doi.org/10.1016/j.jmaa.2010.03.040

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