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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)



Correcting continuous hypergraphs

Author: F. Petrov
Translated by: F. Petrov
Original publication: Algebra i Analiz, tom 28 (2016), nomer 6.
Journal: St. Petersburg Math. J. 28 (2017), 783-787
MSC (2010): Primary 05C65
Published electronically: October 2, 2017
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Abstract | References | Similar Articles | Additional Information

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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Additional Information

F. Petrov
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia

Keywords: Removal lemma, continuous hypergraph, Ramsey theorem
Received by editor(s): July 19, 2016
Published electronically: October 2, 2017
Additional Notes: Supported by St. Petersburg State University grants nos. and and by RFBR grant no. 14-01-00373a.
Article copyright: © Copyright 2017 American Mathematical Society

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