English

Uniform Continuity in Definable Groups

Logic 2018-12-14 v1

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.

Keywords

Cite

@article{arxiv.1812.05146,
  title  = {Uniform Continuity in Definable Groups},
  author = {Alf Onshuus and Luis Carlos Suárez},
  journal= {arXiv preprint arXiv:1812.05146},
  year   = {2018}
}
R2 v1 2026-06-23T06:40:41.508Z