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Covering Numbers in Linear Algebra

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arxiv 1208.0975 v1 pith:3B7CR4TF submitted 2012-08-05 math.HO

Covering Numbers in Linear Algebra

classification math.HO
keywords coveringlinearsubspacesaffinealgebraanaloguesarbitrarycardinality
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We compute the minimal cardinality of a covering (resp. an irredundant covering) of a vector space over an arbitrary field by proper linear subspaces. Analogues for affine linear subspaces are also given.

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