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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Combinatorica
Volume	42
Issue number	1
DOIs	https://doi.org/10.1007/s00493-021-4602-x
State	Published - Feb 2022

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Computational Mathematics

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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} 2022, J{\'a}nos Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg.",

year = "2022",

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

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AU - Karasev, Roman

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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.

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DO - 10.1007/s00493-021-4602-x

M3 - مقالة

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EP - 8

JO - Combinatorica

JF - Combinatorica

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A Subexponential Size Triangulation of ℝP ⁿ

Abstract

All Science Journal Classification (ASJC) codes

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