TL;DR
This paper extends the hypergraph removal lemma to a broad class of measurable functions of multiple variables, providing a general theoretical framework for removal lemmas.
Contribution
It introduces a general removal lemma applicable to measurable functions of several variables, broadening the scope of hypergraph removal results.
Findings
Established a general removal lemma for measurable functions
Extended hypergraph removal techniques to a wider class of functions
Provided a foundational theoretical result in combinatorics
Abstract
We formulate and prove a general result in spirit of hypergraph removal lemma for measurable functions of several variables.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Advanced Topology and Set Theory · Functional Equations Stability Results