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- W44342009 abstract "We prove the following: (1) For a Hausdorff space X, the hyperspace K(X) of compact subsets of X is hemicompact if and only if X is hemicompact. (2) For a regular space X, the hyperspace of subcontinua of X is hemicompact (hemiconnected) if and only if X is hemicompact (hemiconnected). (3) For a locally compact Hausdorff space X, each open set in X is hemicompact if and only if each basic open set in the hyperspace K(X) is hemicompact. (4) For a connected, locally connected, locally compact Hausdorff space X, K(X) is hemiconnected if and only if X is hemiconnected." @default.
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- W44342009 date "2000-01-01" @default.
- W44342009 modified "2023-09-24" @default.
- W44342009 title "HEMICOMPACTNESS AND HEMICONNECTEDNESS OF HYPERSPACES" @default.
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