Fell-continuous selections and topologically well-orderable spaces II

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

2002-04-10

arxiv.org/abs/math/0204129v1

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

Mathematics

General Topology

7 pages

Scientific paper

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 $\mathcal{F}_2(X)$ which is continuous with respect to the Fell topology on $\mathcal{F}_2(X)$. In particular, this implies that $\mathcal{F}(X)$ has a Fell-continuous selection if and only if $\mathcal{F}_2(X)$ has a Fell-continuous selection.

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