James Freitag : Cell decomposition in o-minimal structures

Posted by James Freitag , part of the Logic Seminar.

At

Feb. 27, 2018, 1 p.m.

In

SEO 427

Abstract

This week, we will cover the fundamental theorem of o-minimal structures: every definable set has a finite decomposition into sets called cells, which have very nice properties (for instance very nice topological properties). Key points we will touch on are: how nice the cells can be chosen, how the decomposition varies in families, and applications of these ideas.