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Correcting continuous hypergraphs. / Petrov, F.

в: St. Petersburg Mathematical Journal, Том 28, № 6, 01.01.2017, стр. 783-787.

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Harvard

Petrov, F 2017, 'Correcting continuous hypergraphs', St. Petersburg Mathematical Journal, Том. 28, № 6, стр. 783-787. https://doi.org/10.1090/spmj/1473

APA

Petrov, F. (2017). Correcting continuous hypergraphs. St. Petersburg Mathematical Journal, 28(6), 783-787. https://doi.org/10.1090/spmj/1473

Vancouver

Petrov F. Correcting continuous hypergraphs. St. Petersburg Mathematical Journal. 2017 Янв. 1;28(6):783-787. https://doi.org/10.1090/spmj/1473

Author

Petrov, F. / Correcting continuous hypergraphs. в: St. Petersburg Mathematical Journal. 2017 ; Том 28, № 6. стр. 783-787.

BibTeX

@article{576634db8285465c9c397871680e0d16,
title = "Correcting continuous hypergraphs",
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 = "Continuous hypergraph, Ramsey theorem, Removal lemma",
author = "F. Petrov",
year = "2017",
month = jan,
day = "1",
doi = "10.1090/spmj/1473",
language = "English",
volume = "28",
pages = "783--787",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Correcting continuous hypergraphs

AU - Petrov, F.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Continuous hypergraph

KW - Ramsey theorem

KW - Removal lemma

UR - http://www.scopus.com/inward/record.url?scp=85030640352&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=31062036

U2 - 10.1090/spmj/1473

DO - 10.1090/spmj/1473

M3 - Article

AN - SCOPUS:85030640352

VL - 28

SP - 783

EP - 787

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 6

ER -

ID: 49850227