%0 Journal Article
%T Logic for metric structures and the number of universal sofic and hyperlinear groups
%A Martino Lupini
%J Mathematics
%D 2011
%I arXiv
%X Using the model theory of metric structures, I give an alternative proof of the following result by Thomas: If the Continuum Hypothesis fails then there are power of the continuum many universal sofic groups up to isomorphism. This method is also applicable to universal hyperlinear groups, giving a positive answer to a question posed by Thomas.
%U http://arxiv.org/abs/1111.0729v3