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edited Apr 13, 2017 at 12:58

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Similar question was discussed before and answered (in particular to Bill's question in the comments)

Are proper linear subspaces of Banach spaces always meager?Are proper linear subspaces of Banach spaces always meager?

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created Oct 7, 2010 at 4:42

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Similar question was discussed before and answered (in particular to Bill's question in the comments)

Are proper linear subspaces of Banach spaces always meager?