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edited title

edited Aug 23, 2014 at 9:41

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Is there a hyperplane avoiding two independent sets?

Let $V$ be a vector space over a field with $5$ elements, $A,B \subseteq V$ independent subsets. Must there be a subspace of $V$ of codimension 1 disjoint from $A \cup B$?

asked Aug 23, 2014 at 5:56

Pablo

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