An Abstract Regularity Lemma - Mathematics CombinatoricsReport as inadecuate

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Abstract: We extend Szemeredis Regularity Lemma SRL to abstract measure spaces. Ourmain aim is to find general conditions under which the original proof ofSzemeredi still works. To illustrate that our approach has some merit, weoutline several applications. Some of these applications seem to be tailored toour approach: in particular, we are not aware of any alternative proofs.

Author: Bela Bollobas, Vladimir Nikiforov



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