, Volume 37, Issue 2, pp 129–136

The universality theorem for neighborly polytopes

Original Paper

DOI: 10.1007/s00493-016-3253-9

Cite this article as:
Adiprasito, K.A. & Padrol, A. Combinatorica (2017) 37: 129. doi:10.1007/s00493-016-3253-9


In this note, we prove that every open primary basic semialgebraic set is stably equivalent to the realization space of a neighborly simplicial polytope. This in particular provides the final step for Mnëv‘s proof of the universality theorem for simplicial polytopes.

Mathematics Subject Classification (2000)

52B40 52C40 14P10 

Copyright information

© János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Einstein Institute for MathematicsHebrew University of JerusalemJerusalemIsrael
  2. 2.Institut de Mathématiques de Jussieu - Paris Rive GaucheUniversit Pierre et Marie Curie (Paris 06)ParisFrance

Personalised recommendations