Geodesic
Small product sets in compact groups
Michael Björklund1
1 Department of Mathematics Chalmers Göteborg, Sweden
Fundamenta Mathematicae, Tome 238 (2017) no. 1, pp. 1-27

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that a subcritical pair $(A,B)$ of sufficiently “spread-out” Borel sets in a compact and second countable group $K$ with an abelian identity component must reduce to a Sturmian pair in either $\mathbb {T}$ or $\mathbb {T}\rtimes \{-1,1\}$. This extends a classical result of Kneser.
DOI : 10.4064/fm896-11-2016
Keywords: subcritical pair sufficiently spread out borel sets compact second countable group abelian identity component reduce sturmian pair either mathbb mathbb rtimes extends classical result kneser

Michael Björklund 1

1 Department of Mathematics Chalmers Göteborg, Sweden 
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Michael Björklund. Small product sets in compact groups. Fundamenta Mathematicae, Tome 238 (2017) no. 1, pp. 1-27. doi: 10.4064/fm896-11-2016

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