Inscribing a regular crosspolytope
Algebraic Topology
2009-07-21 v2 Metric Geometry
Abstract
In this paper we prove that it is possible to inscribe a regular crosspolytope (multidimensional octahedron) into a smooth convex body in , where is an odd prime power. Some generalizations of this statement are also proved.
Keywords
Cite
@article{arxiv.0905.2671,
title = {Inscribing a regular crosspolytope},
author = {R. N. Karasev},
journal= {arXiv preprint arXiv:0905.2671},
year = {2009}
}
Comments
The reference to Schnirelmann is corrected. The previous results on inscribing are discussed in more detail