A note on pseudofinite dimension and forking
arXiv:1402.5212
Abstract
In this paper we show that an instance of dividing in pseudofinite structures can be witnessed by a drop of the pseudofinite dimension. As an application of this result we give new proofs of known results for asymptotic classes of finite structures.
12 pages, some typos corrected. A crucial mistake in Proposition 3.4 is corrected. Some examples are added in Section 3