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Some Results on the Countable Compactness and Pseudocompactness of Hyperspaces
Let X be a Hausdorff space. Let 2 X denote the set of all non-empty closed subsets of X. For a subset A of X, we set 2 A = { F 6 2X : F ⊆ A }. Recall that the finite topology on 2 X is that topology …