A variant of the hypergraph removal lemma

dc.creatorTao, Terence
dc.date2005-03-24
dc.date2005-11-16
dc.date.accessioned2026-07-07T06:39:39Z
dc.date.available2026-07-07T06:39:39Z
dc.descriptionRecent work of Gowers and Nagle, Rödl, Schacht, and Skokan has established a hypergraph removal lemma, which in turn implies some results of Szemerédi and Furstenberg-Katznelson concerning one-dimensional and multi-dimensional arithmetic progressions respectively. In this paper we shall give a self-contained proof of this hypergraph removal lemma. In fact we prove a slight strengthening of the result, which we will use in a subsequent paper to establish infinitely many constellations of a prescribed shape in the Gaussian primes.
dc.description25 pages, no figures, to appear, J. Combin. Thy A. This is the final version, incorporating the referee's comments
dc.identifierhttps://arxiv.org/abs/math/0503572
dc.identifierhttp://arxiv.org/abs/math/0503572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101157
dc.subjectCombinatorics
dc.subject05C65
dc.titleA variant of the hypergraph removal lemma
dc.typetext

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