Selections, Extensions and Collectionwise Normality
General Topology
2018-05-22 v2
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.
Cite
@article{arxiv.0811.3945,
title = {Selections, Extensions and Collectionwise Normality},
author = {Valentin Gutev and Narcisse Roland Loufouma Makala},
journal= {arXiv preprint arXiv:0811.3945},
year = {2018}
}