The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets

Alan Chang; Marianna Csörnyei

doi:https://doi.org/10.1112/plms.12207

The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets

Alan Chang, Marianna Csörnyei

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

Abstract

We solve the Kakeya needle problem and construct a Besicovitch and a Nikodym set for rectifiable sets.

Original language	American English
Pages (from-to)	1084-1114
Number of pages	31
Journal	Proceedings of the London Mathematical Society
Volume	118
Issue number	5
DOIs	https://doi.org/10.1112/plms.12207
State	Published - May 2019
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Keywords

28A75 (primary)

Access to Document

https://doi.org/10.1112/plms.12207

Cite this

@article{e1787df4c219497da830aa1e48b3312a,

title = "The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets",

abstract = "We solve the Kakeya needle problem and construct a Besicovitch and a Nikodym set for rectifiable sets.",

keywords = "28A75 (primary)",

author = "Alan Chang and Marianna Cs{\"o}rnyei",

note = "Publisher Copyright: {\textcopyright} 2018 London Mathematical Society",

year = "2019",

month = may,

doi = "https://doi.org/10.1112/plms.12207",

language = "American English",

volume = "118",

pages = "1084--1114",

journal = "Proceedings of the London Mathematical Society",

issn = "0024-6115",

publisher = "Oxford University Press",

number = "5",

}

TY - JOUR

T1 - The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets

AU - Chang, Alan

AU - Csörnyei, Marianna

PY - 2019/5

Y1 - 2019/5

N2 - We solve the Kakeya needle problem and construct a Besicovitch and a Nikodym set for rectifiable sets.

AB - We solve the Kakeya needle problem and construct a Besicovitch and a Nikodym set for rectifiable sets.

KW - 28A75 (primary)

UR - http://www.scopus.com/inward/record.url?scp=85054650654&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85054650654&partnerID=8YFLogxK

U2 - https://doi.org/10.1112/plms.12207

DO - https://doi.org/10.1112/plms.12207

M3 - Article

SN - 0024-6115

VL - 118

SP - 1084

EP - 1114

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 5

ER -

The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets

Abstract

ASJC Scopus subject areas

Keywords

Access to Document

Other files and links

Cite this