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arXiv · 1906.06118

On inscribed equilateral simplices in normed spaces

Bernardo González Merino
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Abstract

In this paper we prove in certain n-dimensional normed spaces X the existence of full-dimensional equilateral simplices of large size inscribed to the unit ball B. This extends the construction of Makeev [Mak] in dimension 4 and we also compute an example of a space in which the idea cannot be applied.

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Bernardo González Merino. 2019-06-14. On inscribed equilateral simplices in normed spaces. https://arxiv.org/abs/1906.06118

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