Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach

Details Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach

2007-05-15

arxiv.org/abs/0705.2179v1

Mathematics

Combinatorics

25 pages

Scientific paper

We study the integral and measure theory of the ultraproduct of finite sets.
As a main application we construct limit objects for hypergraph sequences. We
give a new proof for the Hypergraph Removal Lemma and the Hypergraph Regularity
Lemma.

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