GT ADG-Systèmes Dynamiques

The partial topological group and its characteristic topological subgroup
Wei Huaying (mapmo)
Tuesday 17 January 2017 14:00 -  Orléans -  Salle de Séminaire

Résumé :
In this talk, we shall introduce the partial topological group and its characteristic topological subgroup. What's more, we first show that the characteristic topological subgroup S of the partial topological group QS of quasisymmetric homeomorphisms of the unit circle, in the Teichmuller metric, turns out to be the group of symmetric homeomorphisms which have vanishing ratio distortion. We then show that the set of all strongly quasisymmetric homeomorphisms of the unit circle which is denoted by SQS is a partial topological group, and the characteristic topological subgroup of SQS consists of strongly symmetric homeomorphisms for a new topology induced by the BMO norm.

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