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math.FA2013
Dual Affine invariant points
Mathieu Meyer, Carsten Schuett, Elisabeth M. Werner
An affine invariant point on the class of convex bodies in R^n, endowed with the Hausdorff metric, is a continuous map p which is invariant under one-to-one affine transformations…
math.FA2013★ 2 cited
Affine invariant points
Mathieu Meyer, Carsten Schuett, Elisabeth M. Werner
We answer in the negative a question by Gruenbaum who asked if there exists a finite basis of affine invariant points. We give a positive answer to another question by Gruenbaum ab…