Nikodym set
id:
nikodym-set-307-15208585
title:
Nikodym set
text:
In mathematics, a Nikodym set is a subset of the unit square in R 2 with complement of Lebesgue measure zero, such that, given any point in the set, there is a straight line that only intersects the set at that point. The existence of a Nikodym set was first proved by Otto Nikodym in 1927. Subsequently, constructions were found of Nikodym sets having continuum many exceptional lines for each point, and Kenneth Falconer found analogues in higher dimensions. Nikodym sets are closely related to Kak
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Nikodym_set
date created:
date modified:
2023-10-10T15:37:55Z
main entity:
{"identifier":"Q5783296","url":"https://www.wikidata.org/entity/Q5783296"}
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13
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13