Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$

Justin Tatch Moore

Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$

Combinatorics 2018-07-18 v4 Dynamical Systems Functional Analysis General Topology Group Theory Logic

Authors: Justin Tatch Moore

Abstract

The purpose of this article is to formulate conjectural generalizations of Hindman's Theorem and Ellis's Lemma for nonassociative binary systems and relate them to the amenability problem for Thompson's group $F$ . Partial results are obtained for both conjectures. The paper will also contain some general analysis of the conjectures.

Keywords

Hindman's Theorem Ellis's Lemma Thompson's group F nonassociative binary systems amenability conjectural generalizations

Cite

@article{arxiv.1106.4735,
  title  = {Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$},
  author = {Justin Tatch Moore},
  journal= {arXiv preprint arXiv:1106.4735},
  year   = {2018}
}

Comments

This paper has now appeared but is largely obsolete: Conjectures 1.3 and 1.4 have since been refuted by the author. arXiv admin note: text overlap with arXiv:1209.2063

Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$

Abstract

Keywords

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