Measure for families of hyperplanes systems in the affine space

Giovanni Molica Bisci

Abstract


We study the problem of the measurability of families of k-hyperplanes having a common fixed point and placed in A2n+1, with n ≥ 3. We prove that for k = 2n or k = 3 and 2n = 3t, for some t ∈ N, the family is not measurable.

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DOI: http://dx.doi.org/10.1478/C1A0501006