An Abstract Regularity Lemma

Details An Abstract Regularity Lemma An Abstract Regularity Lemma

2007-04-19

arxiv.org/abs/0704.2450v1

Mathematics

Combinatorics

This preliminary draft is uploaded to get some feedback. Criticisms and suggestions are welcome

Scientific paper

We extend Szemeredi's Regularity Lemma (SRL) to abstract measure spaces. Our
main aim is to find general conditions under which the original proof of
Szemeredi still works. To illustrate that our approach has some merit, we
outline several applications. Some of these applications seem to be tailored to
our approach: in particular, we are not aware of any alternative proofs.

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