Submission date: 26 October 2013.

Abstract:

We consider automorphism groups of countably categorical structures which satisfy some properties related to nice enumerability. We study (extreme) amenability of these groups. We analyse a particular omega-categorical structure which is a candidate for an example of an omega-categorical structure with amenable automorphism group and without omega-categorical expansions with extremely amenable automorphism groups.

Mathematics Subject Classification: 03E15, 03C15

Keywords and phrases:

Full text arXiv 1310.7116: pdf, ps.