MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 932

Preprint Number 932

Previous Next Preprint server


932. Pierre Simon and Erik Walsberg
Tame Topology over Dp-minimal Structures
E-mail:

Submission date: 28 September 2015.

Abstract:

We develop tame topology over dp-minimal structures equipped with definable uniformities satisfying certain assumptions. Our assumptions are enough to ensure that definable sets are tame: there is a good notion of dimension on definable sets, definable functions are almost everywhere continuous, and definable sets are finite unions of graphs of definable continuous “multi-valued functions”. This generalizes known statements about weakly o-minimal, C-minimal and P-minimal theories.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1509.08484: pdf, ps.


Last updated: September 30 2015 13:27 Please send your corrections to: