Weak orderability of second countable spaces
Volume 196 / 2007
Fundamenta Mathematicae 196 (2007), 275-287
MSC: 54B20, 54C65, 54F05.
DOI: 10.4064/fm196-3-4
Abstract
We demonstrate that a second countable space is weakly orderable if and only if it has a continuous weak selection. This provides a partial positive answer to a question of van Mill and Wattel.