MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 668

Preprint Number 668

Previous Next Preprint server


668. Itaï Ben Yaacov (ICJ), Todor Tsankov (IMJ)
Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups
E-mail:

Submission date: 30 December 2013.

Abstract:

We investigate the automorphism groups of ℵ_0-categorical structures and prove that they are exactly the Roelcke precompact Polish groups. We show that the theory of a structure is stable if and only if every Roelcke uniformly continuous function on the automorphism group is weakly almost periodic. Analysing the semigroup structure on the weakly almost periodic compactification, we show that continuous surjective homomorphisms from automorphism groups of stable ℵ_0-categorical structures to Hausdorff topological groups are open. We also produce some new WAP-trivial groups and calculate the WAP compactification in a number of examples.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1312.7757: pdf, ps.


Last updated: March 23 2021 09:22 Please send your corrections to: