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math.LO2014
Metric Scott analysis
Itai Ben Yaacov, Michal Doucha, Andre Nies +1
We develop an analogue of the classical Scott analysis for metric structures and infinitary continuous logic. Among our results are the existence of Scott sentences for metric stru…
math.LO2014
Non-universality of automorphism groups of uncountable ultrahomogeneous structures
Michal Doucha
In \cite{MbPe}, Mbombo and Pestov prove that the group of isometries of the generalized Urysohn space of density , for uncountable such that , is not a universal t…
math.LO2014
Scott rank of Polish metric spaces
Michal Doucha
Following the work of Friedman, Koerwien, Nies and Schlicht we positively answer their question whether the Scott rank of Polish metric spaces is countable.