The universality theorem for neighborly polytopes

Karim A. Adiprasito*, Arnau Padrol

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageAmerican English
Pages (from-to)129-136
Number of pages8
Issue number2
StatePublished - 1 Apr 2017

Bibliographical note

Publisher Copyright:
© 2017, János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg.


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