Fell-continuous selections and topologically well-orderable spaces II

Valentin Gutev

paper

Fell-continuous selections and topologically well-orderable spaces II

arXiv:math/0204129

Abstract

The present paper improves a result of V. Gutev and T. Nogura (1999) showing that a space $X$ is topologically well-orderable if and only if there exists a selection for $F_{2} (X)$ which is continuous with respect to the Fell topology on $F_{2} (X)$ . In particular, this implies that $F (X)$ has a Fell-continuous selection if and only if $F_{2} (X)$ has a Fell-continuous selection.

7 pages