The universality theorem for neighborly polytopes

Karim A. Adiprasito; Arnau Padrol

doi:https://doi.org/10.1007/s00493-016-3253-9

The universality theorem for neighborly polytopes

Karim A. Adiprasito, Arnau Padrol

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	129-136
Number of pages	8
Journal	Combinatorica
Volume	37
Issue number	2
DOIs	https://doi.org/10.1007/s00493-016-3253-9
State	Published - 1 Apr 2017

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Computational Mathematics

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title = "The universality theorem for neighborly polytopes",

abstract = "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 Mn{\"e}v{\textquoteleft}s proof of the universality theorem for simplicial polytopes.",

author = "Adiprasito, {Karim A.} and Arnau Padrol",

note = "Publisher Copyright: {\textcopyright} 2017, J{\'a}nos Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg.",

year = "2017",

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doi = "https://doi.org/10.1007/s00493-016-3253-9",

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DO - https://doi.org/10.1007/s00493-016-3253-9

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JO - Combinatorica

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The universality theorem for neighborly polytopes

Abstract

All Science Journal Classification (ASJC) codes

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