2019/01/08 by David Bryant, Bryant, David, André Nies +3
Mathematics · #03C30 #03C52 #51F99 #60G07 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03C30 #msc:03C52 #msc:51F99 #msc:60G07
paper · pdf · doi:10.48550/arxiv.1901.02122
22 pages
arxiv created 2019/08/12 · arxiv updated 2019/08/13
The general theory developed by Ben Yaacov for metric structures provides Fraïssé limits which are approximately ultrahomogeneous. We show here that this result can be strengthened in the case of relational metric structures. We give an extra condition that guarantees exact ultrahomogenous limits. The condition is quite general. We apply it to stochastic processes, the class of diversities, and its subclass of L1 diversities.