Correcting continuous hypergraphs

Petrov, F.

doi:10.1090/spmj/1473

Correcting continuous hypergraphs
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by F. Petrov
Translated by: F. Petrov

St. Petersburg Math. J. 28 (2017), 783-787

DOI: https://doi.org/10.1090/spmj/1473

Published electronically: October 2, 2017

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Abstract:

A general result in the spirit of the continuous hypergraph removal lemma is stated and proved: if a “closed” property of values of a measurable function on $[0,1]^n$ holds almost everywhere, then the function may be changed on a set of measure 0 so that this property holds everywhere. It is also shown that in some situations a discrete version fails.

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