The universality theorem for neighborly polytopes
Metric Geometry
2014-10-01 v2 Algebraic Geometry
Combinatorics
Abstract
In this note, we prove that every open primary basic semialgebraic set is stably equivalent to the realization space of an even-dimensional neighborly polytope. This in particular provides the final step for Mn\"ev's proof of the universality theorem for simplicial polytopes.
Cite
@article{arxiv.1402.7207,
title = {The universality theorem for neighborly polytopes},
author = {Karim A. Adiprasito and Arnau Padrol},
journal= {arXiv preprint arXiv:1402.7207},
year = {2014}
}
Comments
5 pages, 1 figure. Small changes