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

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	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
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

28A75 (primary)

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10.1112/plms.12207

Cite this

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

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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

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