Submission date: 12 December 2018

Abstract:

In this paper we study analogues of amenability for topological groups in the context of definable structures. We prove fixed point theorems for such groups. More importantly, we propose definitions for definable actions and continuous functions from definable groups to topological spaces which might prove useful in other contexts.

Mathematics Subject Classification:

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Full text arXiv 1812.05146: pdf, ps.