Domination equivalence and fibers

Christine Eagles, Department of Pure Mathematics, University of Waterloo

In stable theories we may understand types of finite rank in terms of a finite collection of minimal types. One such method is a domination decomposition. This talk will serve as an exposition on domination in stable theories, particularly in how it relates to images of a type under a function. In particular, we show that when the fibers of a map f from a type p to another type are almost internal to a minimal type r, then we have that p is domination equivalent to a Morley product of the image of f and some copies of r. This is joint work with Léo Jimenez.

MC 5479