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math.LO2017
The Urysohn sphere is pseudofinite
Isaac Goldbring, Bradd Hart
We show that the Urysohn sphere is pseudofinite. As a consequence, we derive an approximate - law for finite metric spaces of diameter at most .
math.LO2017
Explicit sentences distinguishing McDuff's II factors
Isaac Goldbring, Bradd Hart, Henry Towsner
Recently, Boutonnet, Chifan, and Ioana proved that McDuff's examples of continuum many pairwise non-isomorphic separable II factors are in fact pairwise non-elementarily equiva…