Submission date: 8 April 2008

Abstract:

In this short note we provide an example of a group G definable in an o-minimal structure M which does not admit an affine embedding; in other words, there is no definable isomorphism between topological groups f: G --> K, such that the group topology on K coincides with the subspace topology.

Mathematics Subject Classification: 03C64, 57Q35

Keywords and phrases: O-minimal structures, PL-embeddings

Full text: pdf, dvi, ps.