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Fell-continuous selections and topologically well-orderable spaces II | | Valentin Gutev
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10 Apr 2002 | | Journal: | Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 147--153, Topology Atlas, Toronto, 2002 | | Subject: | General Topology MSC-class: 54B20, 54C65 (Primary) 54D45, 54F05 (Secondary) | math.GN | | 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. | | Source: | arXiv, math.GN/0204129 | | Services: | Forum | Review | PDF | Favorites | |
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