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Fell-continuous selections and topologically well-orderable spaces II

Valentin Gutev
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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 $\mathcal{F}_2(X)$ 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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Valentin Gutev. 2002-04-10. Fell-continuous selections and topologically well-orderable spaces II. https://arxiv.org/abs/math/0204129

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