FRAÏSSÉ LIMITS FOR RELATIONAL METRIC STRUCTURES

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. T...

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Bibliographic Details
Published in:The Journal of symbolic logic 2021-09, Vol.86 (3), p.913-934
Main Authors: BRYANT, DAVID, NIES, ANDRÉ, TUPPER, PAUL
Format: Article
Language:English
Subjects:
Logic
Mathematical functions
Mathematics
Philosophy
Structuralism
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Summary: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 $L_1$ diversities.
ISSN:0022-4812
1943-5886
DOI:10.1017/jsl.2021.65