Let $V$ be a neighbourhood of zero. Is it true that there always exists neighbourhoods of zero A and B such that $V=A+B$?
If this is true, then could it be generalized to neighbourhood of any point, not only zero?
Let $V$ be a neighbourhood of zero. Is it true that there always exists neighbourhoods of zero A and B such that $V=A+B$?
If this is true, then could it be generalized to neighbourhood of any point, not only zero?
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