A note on pseudofinite dimension and forking
Logic
2014-10-02 v2
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.
Cite
@article{arxiv.1402.5212,
title = {A note on pseudofinite dimension and forking},
author = {Darío García},
journal= {arXiv preprint arXiv:1402.5212},
year = {2014}
}
Comments
12 pages, some typos corrected. A crucial mistake in Proposition 3.4 is corrected. Some examples are added in Section 3