I do know that every normed vector space is also a topological vector space.
Is every metric (vector) space also a topological vector space. I.e. is there a metric d, such that the induced topology is not continuous with the vector space operations?
I do know that every normed vector space is also a topological vector space.
Is every metric (vector) space also a topological vector space. I.e. is there a metric d, such that the induced topology is not continuous with the vector space operations?
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