On inscribed equilateral simplices in normed spaces
Functional Analysis
2019-06-25 v2 Metric Geometry
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.
Cite
@article{arxiv.1906.06118,
title = {On inscribed equilateral simplices in normed spaces},
author = {Bernardo González Merino},
journal= {arXiv preprint arXiv:1906.06118},
year = {2019}
}
Comments
6 pages