Selections, Extensions and Collectionwise Normality

Details Selections, Extensions and Collectionwise Normality Selections, Extensions and Collectionwise Normality

2008-11-24

arxiv.org/abs/0811.3945v2

Mathematics

General Topology

Scientific paper

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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