Fell-continuous selections and topologically well-orderable spaces II

2002/04/10 by Valentin Gutev · 1 citation
Mathematics · #math.GN #msc:54B20 #msc:54C65 #msc:54D45 #msc:54F05

paper · pdf

published as Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 147--153, Topology Atlas, Toronto, 2002 · 7 pages

arxiv created 2002/04/10 · arxiv updated 2009/11/30

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 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.

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