Coarse free products
arXiv:1905.07003
Abstract
We define a notion of free product for coarse spaces that generalizes the corresponding notion of a free product for groups. We show that free products preserve coarse properties such as coarse property C, finite coarse decomposition complexity, and coarse property A. We also give an upper bound estimate on the dimension of a coarse free product in terms of the dimension of its factors.
Two small errors have been corrected in Lemma 4.3 and Theorem A