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 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.

Document formats
AtlasImage (for online previewing)
LaTeX 20.8 Kb
DVI 30.8 Kb
PostScript 140.8 Kb
gzipped PostScript 57.0 Kb
PDF 162.8 Kb
Reference list in BibTeX

Comments. This article is in final form.

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