Some generalizations on affine invariant points

Jonard-Pérez, Natalia

doi:10.1090/proc/15229

Some generalizations on affine invariant points
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by Natalia Jonard-Pérez

Proc. Amer. Math. Soc. 148 (2020), 5299-5311

DOI: https://doi.org/10.1090/proc/15229

Published electronically: September 11, 2020

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Abstract:

In this note we prove a more general (and topological) version of Grünbaum’s conjecture about affine invariant points. As an application of our result we show that if we consider the action of the group of similarities, Grünbaum’s conjecture remains valid in other families of convex sets (not necessarily convex bodies).

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