Topology Atlas
Document # ppae-14

## Fell-continuous selections and topologically well-orderable spaces II

### Valentin Gutev

Proceedings of the Ninth Prague Topological Symposium
(2001)
pp. 147-153
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.

Mathematics Subject Classification. 54B20 54C65 (54D45 54F05).

Keywords. Hyperspace topology, selection, ordered space, local
compactness.

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Copyright © 2002
Charles University and
Topology Atlas.
Published April 2002.