Fell-continuous selections and topologically well-orderable spaces II

Valentin Gutev

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.

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arXiv

math.GN/0204129

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