抄録
The purpose of this paper is to study the notion of relative extreme
amenability for pairs of topological groups. We give a characterization by a fixed point
property on universal spaces. In addition we introduce the concepts of an extremely
amenable interpolant as well as maximally relatively extremely amenable pairs and give
examples. It is shown that relative extreme amenability does not imply the existence
of an extremely amenable interpolant. The theory is applied to generalize results of
[KPT05] relating to the application of Fra¨ıss´e theory to theory of Dynamical Systems.
In particular, new conditions enabling to characterize universal minimal spaces of
automorphism groups of Fra¨ıss´e structures are given.
