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Question about Frechet compactness
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[QUOTE="facenian, post: 6003489, member: 190334"] The problem is that this is not a counter example. The infinite set ##\{1/(n+1):n\in Z^+\}\subset (0,1)## does not have a limit point in (0,1) so this space is not limit point compact. Given the Heine-Borel theorem for ##R^n## a counter example can exists only outside ##R^n## with the usual topology or the fact that limit point compactness and compactnes are equivalent in a metric space. [/QUOTE]
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Question about Frechet compactness
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