Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1462

Preprint Number 1462

Previous Next Preprint server

1462. Ya'acov Peterzil and Ayala Rosel
Definable one dimensional topologies in o-minimal structures

Submission date: 21 July 2018


We consider definable topological spaces of dimension one in o-minimal structures, and state several equivalent conditions for when such a topological space (X,τ) is definably homeomorphic to an affine definable space (namely, a definable subset of M^{n} with the induced subspace topology). One of the main results says that it is sufficient for X to be regular and decompose into finitely many definably connected components.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1807.08086: pdf, ps.

Last updated: March 23 2021 10:20 Please send your corrections to: