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In: Advanced Math

The metric space M is separable if it contains a countable dense subset. [Note the confusion...

The metric space M is separable if it contains a countable dense subset. [Note
the confusion of language: “Separable” has nothing to do with “separation.”]
(a) Prove that R^m is separable.
(b) Prove that every compact metric space is separable.

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Colby Messinger answered 2 years ago
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