Submission date: 29 October 2021

Abstract:

We give a necessary and sufficient condition for a one-dimensional regular and Hausdorff topological space definable in a definably complete uniformly locally o-minimal structure of the second kind having definable bounded multiplication being affine.

Mathematics Subject Classification: 03C64

Keywords and phrases: uniformly locally o-minimal structures of the second kind; definable bounded multiplication

Full text arXiv 2110.15616: pdf, ps.