Some generalizations on affine invariant points

Jonard-Pérez, Natalia

doi:10.1090/proc/15229

Some generalizations on affine invariant points

Author: Natalia Jonard-Pérez
Journal: Proc. Amer. Math. Soc. 148 (2020), 5299-5311
MSC (2010): Primary 52A20, 54B20, 54H15, 57S20
DOI: https://doi.org/10.1090/proc/15229
Published electronically: September 11, 2020
MathSciNet review: 4163842
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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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