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 F2(X) which is continuous with respect to the Fell topology on F2(X). In particular, this implies that F(X) has a Fell-continuous selection if and only if F2(X) has a Fell-continuous selection.
Mathematics Subject Classification. 54B20 54C65 (54D45 54F05).
Keywords. Hyperspace topology, selection, ordered space, local compactness.
Comments. This article is in final form.