Another proof of a theorem of van Mill and Wattel on weak selections
Volume 152 / 2018
Colloquium Mathematicum 152 (2018), 165-173
MSC: Primary 54C65; Secondary 54F05, 54B20.
DOI: 10.4064/cm7214-9-2017
Published online: 8 February 2018
Abstract
We give another proof of the following theorem due to van Mill and Wattel: If a Hausdorff space has a locally uniform weak selection, then it is a generalized ordered space. A characterization of weak orderability in terms of weak selections is also given.
