A new and simple proof of the false centre theorem

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arxiv 2110.04324 v2 pith:I4PTPCUW submitted 2021-10-08 math.MG

Luis Montejano , Efren Morales-Amaya This is my paper

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We present in this work a new and simple proof of the false centre theorem.

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On Bezdek's conjecture for high-dimensional convex bodies with an aligned center of symmetry
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Proves Bezdek's conjecture in dimensions n≥3 for convex bodies with aligned center of symmetry, assuming sections through a fixed point have reflection axes whose complementary invariant subspaces are parallel to a fi...