A Subexponential Size Triangulation of ℝP  n

Karim Adiprasito; Sergey Avvakumov; Roman Karasev

doi:10.1007/s00493-021-4602-x

A Subexponential Size Triangulation of ℝP ⁿ

Karim Adiprasito^*, Sergey Avvakumov, Roman Karasev

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

2 Citationer (Scopus)

59 Downloads (Pure)

Abstract

We break the exponential barrier for triangulations of the real projective space, constructing a trianglation of ℝPⁿ with e(12+o(1))nlogn vertices.

Originalsprog	Engelsk
Tidsskrift	Combinatorica
Vol/bind	42
Udgave nummer	1
Sider (fra-til)	1-8
ISSN	0209-9683
DOI	https://doi.org/10.1007/s00493-021-4602-x
Status	Udgivet - 2022

Bibliografisk note

Funding Information:
Has received funding from the European Research Council under the European Unions Seventh Framework Programme ERC Grant agreement ERC StG 716424 — CASe.

Funding Information:
Has received funding from the European Research Council under the European Unions Seventh Framework Programme ERC Grant agreement ERC StG 716424 — CASe and the Israel Science Founda-tion under ISF Grant 1050/16.

Funding Information:
Supported by the Federal professorship program grant 1.456.2016/1.4 and the Russian Foundation for Basic Research grants 18-01-00036 and 19-01-00169. Acknowledgments

Publisher Copyright:
© 2021, János Bolyai Mathematical Society and Springer-Verlag.

Adgang til dokumentet

10.1007/s00493-021-4602-x

FulltextAccepteret manuskript, 138 KBLicens: CC BY

Andre filer og links

Link to publication in Scopus

Citationsformater

@article{9322e7672d4d40378558d9e20cf69386,

title = "A Subexponential Size Triangulation of ℝP n",

abstract = "We break the exponential barrier for triangulations of the real projective space, constructing a trianglation of ℝPn with e(12+o(1))nlogn vertices.",

author = "Karim Adiprasito and Sergey Avvakumov and Roman Karasev",

note = "Publisher Copyright: {\textcopyright} 2021, J{\'a}nos Bolyai Mathematical Society and Springer-Verlag.",

year = "2022",

doi = "10.1007/s00493-021-4602-x",

language = "English",

volume = "42",

pages = "1--8",

journal = "Combinatorica",

issn = "0209-9683",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - A Subexponential Size Triangulation of ℝP n

AU - Adiprasito, Karim

AU - Avvakumov, Sergey

AU - Karasev, Roman

PY - 2022

Y1 - 2022

N2 - We break the exponential barrier for triangulations of the real projective space, constructing a trianglation of ℝPn with e(12+o(1))nlogn vertices.

AB - We break the exponential barrier for triangulations of the real projective space, constructing a trianglation of ℝPn with e(12+o(1))nlogn vertices.

UR - http://www.scopus.com/inward/record.url?scp=85119870389&partnerID=8YFLogxK

U2 - 10.1007/s00493-021-4602-x

DO - 10.1007/s00493-021-4602-x

M3 - Journal article

AN - SCOPUS:85119870389

VL - 42

SP - 1

EP - 8

JO - Combinatorica

JF - Combinatorica

SN - 0209-9683

IS - 1

ER -