Geodesic
Hindman's Theorem, Ellis's Lemma, and Thompson's Group $F$
Zbornik radova, Tome 17 (2015) no. 25, p. 171 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We 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 also contains some general analysis of the conjectures.
Classification : 03E02 03E50 05D10 05C55 20F38 43A07
Keywords: amenable, Ellis's lemma, finitely additive measure, idempotent measure, Hindman's theorem, Thompson's group 
@article{ZR_2015_17_25_a7,
     author = {Justin Tatch Moore},
     title = {Hindman's {Theorem,} {Ellis's} {Lemma,} and {Thompson's} {Group} $F$},
     journal = {Zbornik radova},
     pages = {171 },
     year = {2015},
     volume = {17},
     number = {25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_2015_17_25_a7/}
}
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IS  - 25
UR  - http://geodesic.mathdoc.fr/item/ZR_2015_17_25_a7/
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Justin Tatch Moore. Hindman's Theorem, Ellis's Lemma, and Thompson's Group $F$. Zbornik radova, Tome 17 (2015) no. 25, p. 171 . http://geodesic.mathdoc.fr/item/ZR_2015_17_25_a7/