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arXiv 2015-12-03 0 views

A Bollobás-type theorem for affine subspaces

Hegedüs, Gábor

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Let W denote the n-dimensional affine space over the finite field Fq. We prove here a Bollobás-type upper bound in the case of the set of affine subspaces. We give a construction of a pair of families of affine subspaces, which shows that our result is almost sharp.

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