The universality theorem for neighborly polytopes

Karim A. Adiprasito; Arnau Padrol

doi:10.1007/s00493-016-3253-9

The universality theorem for neighborly polytopes

Karim A. Adiprasito^*, Arnau Padrol

^*Corresponding author for this work

Einstein Institute of Mathematics

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

7 Scopus citations

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

Bibliographical note

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

Access to Document

10.1007/s00493-016-3253-9

Cite this

@article{f00d2d58d183499a9af8ee50b7a00b00,

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",

month = apr,

day = "1",

doi = "10.1007/s00493-016-3253-9",

language = "אנגלית",

volume = "37",

pages = "129--136",

journal = "Combinatorica",

issn = "0209-9683",

publisher = "Janos Bolyai Mathematical Society",

number = "2",

}

TY - JOUR

T1 - The universality theorem for neighborly polytopes

AU - Adiprasito, Karim A.

AU - Padrol, Arnau

PY - 2017/4/1

Y1 - 2017/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84966659297&partnerID=8YFLogxK

U2 - 10.1007/s00493-016-3253-9

DO - 10.1007/s00493-016-3253-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84966659297

SN - 0209-9683

VL - 37

SP - 129

EP - 136

JO - Combinatorica

JF - Combinatorica

IS - 2

ER -

The universality theorem for neighborly polytopes

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this