Constancy results for special families of projections
Fässler, Katrin · Orponen, Tuomas
Original · EN
Let V = V x Rˡ: V ∈ G(n-l,m-l) be the family of m-dimensional subspaces of Rⁿ containing 0 x Rˡ, and let πᵥ: Rⁿ --> V be the orthogonal projection onto V. We prove that the mapping V Dim πᵥ(B) is almost surely constant for any analytic set B ⊂ Rⁿ, where Dim denotes either Hausdorff or packing dimension.
English translation
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