Submission date: 7 December 2017

Abstract:

For every countable structure M we construct an ℵ_0-stable countable structure N such that Aut(M) and Aut(N) are topologically isomorphic. This shows that it is impossible to detect any form of stability of a countable structure M from the topological properties of the Polish group Aut(M).

Mathematics Subject Classification: 03C45, 03E15, 22F50

Keywords and phrases:

Full text arXiv 1712.02568: pdf, ps.