Posted by: Alexandre Borovik | December 28, 2008

Consitent group choice and ultrafilters

Since I first encountered ultraproduct I had a feeling that Łoś’s theorem is a kind of a voting scheme on the set of indices I in the ultraproduct \prod_{i\in I} M_i/\mathcal{U}. This happened to be a relatively well known interpretation, developed mostly in the theory of social choice.  Still, I felt that it is worthwhile to document a clean mathematical treatment of the issue, which I did in this preprint.


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