Erdős–Szekeres Theorem for k-Flats

Imre Bárány; Gil Kalai; Attila Pór

doi:10.1007/s00454-022-00450-4

Erdős–Szekeres Theorem for k-Flats

Imre Bárány, Gil Kalai, Attila Pór^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

We extend the famous Erdős–Szekeres theorem to k-flats in R^d.

Original language	English
Pages (from-to)	1232-1240
Number of pages	9
Journal	Discrete and Computational Geometry
Volume	69
Issue number	4
DOIs	https://doi.org/10.1007/s00454-022-00450-4
State	Published - Jun 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Erdős–Szekeres theorem
k-flats in d-space
Ramsey theory

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10.1007/s00454-022-00450-4

Cite this

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title = "Erd{\H o}s–Szekeres Theorem for k-Flats",

abstract = "We extend the famous Erd{\H o}s–Szekeres theorem to k-flats in Rd.",

keywords = "Erd{\H o}s–Szekeres theorem, k-flats in d-space, Ramsey theory",

author = "Imre B{\'a}r{\'a}ny and Gil Kalai and Attila P{\'o}r",

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AU - Kalai, Gil

AU - Pór, Attila

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N2 - We extend the famous Erdős–Szekeres theorem to k-flats in Rd.

AB - We extend the famous Erdős–Szekeres theorem to k-flats in Rd.

KW - Erdős–Szekeres theorem

KW - k-flats in d-space

KW - Ramsey theory

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JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 4

ER -

Erdős–Szekeres Theorem for k-Flats

Abstract

Bibliographical note

Keywords

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Cite this