Abstract
AbstractLet { = V × ℝl : V ∈ G(n−l,m−l)} be the family of m-dimensional subspaces of ℝn containing {0} × ℝl, and let : ℝn → be the orthogonal projection onto . We prove that the mapping V ↦ Dim (B) is almost surely constant for any analytic set B ⊂ ℝn, where Dim denotes either Hausdorff or packing dimension.
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