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

Alan Chang; Marianna Csörnyei

doi:10.1112/plms.12207

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

Alan Chang
, Marianna Csörnyei

Mathematics

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

7 Scopus citations

Abstract

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

Original language	English (US)
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

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

28A75 (primary)

Access to Document

10.1112/plms.12207

Cite this

@article{43bceb6cb5704917aade165ac9b1ec70,

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 = "10.1112/plms.12207",

language = "English (US)",

volume = "118",

pages = "1084--1114",

journal = "Proceedings of the London Mathematical Society",

issn = "0024-6115",

publisher = "John Wiley and Sons Ltd",

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 - https://www.scopus.com/pages/publications/85054650654

UR - https://www.scopus.com/pages/publications/85054650654#tab=citedBy

U2 - 10.1112/plms.12207

DO - 10.1112/plms.12207

M3 - Article

AN - SCOPUS:85054650654

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

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this