Geodesic
Hindman's Theorem, Ellis's Lemma, and Thompson's Group $F$
Zbornik radova, Tome 17 (2015) no. 25, p. 171 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 },
     publisher = {mathdoc},
     volume = {17},
     number = {25},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_2015_17_25_a7/}
}
TY  - JOUR
AU  - Justin Tatch Moore
TI  - Hindman's Theorem, Ellis's Lemma, and Thompson's Group $F$
JO  - Zbornik radova
PY  - 2015
SP  - 171 
VL  - 17
IS  - 25
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZR_2015_17_25_a7/
LA  - en
ID  - ZR_2015_17_25_a7
ER  - 
%0 Journal Article
%A Justin Tatch Moore
%T Hindman's Theorem, Ellis's Lemma, and Thompson's Group $F$
%J Zbornik radova
%D 2015
%P 171 
%V 17
%N 25
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZR_2015_17_25_a7/
%G en
%F ZR_2015_17_25_a7
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/