Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Bollob\'as-type theorem for affine subspaces   Let $W$ denote the $n$-dimensional affine space over the finite field
$\mathbb F_q$. We prove here a Bollob\'as-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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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph