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Valentin Gutev Tsugunori Nogura 《Proceedings of the American Mathematical Society》2001,129(9):2809-2815
Suppose that is a Hausdorff space such that its Vietoris hyperspace has a continuous selection. Do disconnectedness-like properties of depend on the variety of continuous selections for and vice versa? In general, the answer is ``yes' and, in some particular situations, we were also able to set proper characterizations.
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