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Algebra i Analiz, 2016, Volume 28, Issue 6, Pages 84–90 (Mi aa1515)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Correcting continuous hypergraphs

F. Petrovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (179 kB) Citations (1)
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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.
Keywords: Removal lemma, continuous hypergraph, Ramsey theorem.
Funding agency Grant number
Saint Petersburg State University 6.38.223.2014
6.37.208.2016
Russian Foundation for Basic Research 14-01-00373a
Received: 19.07.2016
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 6, Pages 783–787
DOI: https://doi.org/10.1090/spmj/1473
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. Petrov, “Correcting continuous hypergraphs”, Algebra i Analiz, 28:6 (2016), 84–90; St. Petersburg Math. J., 28:6 (2017), 783–787
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:37
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