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- Nikodym_set abstract "In mathematics, a Nikodym set is the seemingly paradoxical result of a construction in measure theory. A Nikodym set in the unit square S in the Euclidean plane E2 is a subset N of S such that the area (i.e. two-dimensional Lebesgue measure) of N is 1; for every point x of N, there is a straight line through x that meets N only at x.The existence of such a set as N was first proved in 1927 by the Polish mathematician Otto M. Nikodym. Nikodym sets are closely related to Kakeya sets (also known as Besicovitch sets).".
- Nikodym_set wikiPageID "14563922".
- Nikodym_set wikiPageRevisionID "563207425".
- Nikodym_set hasPhotoCollection Nikodym_set.
- Nikodym_set subject Category:Measure_theory.
- Nikodym_set subject Category:Paradoxes.
- Nikodym_set type Abstraction100002137.
- Nikodym_set type Communication100033020.
- Nikodym_set type Contradiction107206887.
- Nikodym_set type Falsehood106756407.
- Nikodym_set type Message106598915.
- Nikodym_set type Paradox106724559.
- Nikodym_set type Paradoxes.
- Nikodym_set type Statement106722453.
- Nikodym_set comment "In mathematics, a Nikodym set is the seemingly paradoxical result of a construction in measure theory. A Nikodym set in the unit square S in the Euclidean plane E2 is a subset N of S such that the area (i.e. two-dimensional Lebesgue measure) of N is 1; for every point x of N, there is a straight line through x that meets N only at x.The existence of such a set as N was first proved in 1927 by the Polish mathematician Otto M. Nikodym.".
- Nikodym_set label "Nikodym set".
- Nikodym_set sameAs m.03d80lg.
- Nikodym_set sameAs Q7035471.
- Nikodym_set sameAs Q7035471.
- Nikodym_set sameAs Nikodym_set.
- Nikodym_set wasDerivedFrom Nikodym_set?oldid=563207425.
- Nikodym_set isPrimaryTopicOf Nikodym_set.