The Urysohn sphere is pseudofinite

2017/08/17 by Goldbring, Isaac, Hart, Bradd
#FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.1708.05321

Abstract

We show that the Urysohn sphere is pseudofinite. As a consequence, we derive an approximate 0-1 law for finite metric spaces of diameter at most 1.

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