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A metric space is separable when it has a countable subset of elements which is dense in the whole space. This is required for the useful existence of (e.g.) a [Hamel basis]?, which must be countable. |
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A topological space is separable when it has a countable subset of elements which is dense in the whole space. This is required for the useful existence of (e.g.) a [Hamel basis]?, which must be countable. |
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