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Preprint Number 431

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431. Itaï Ben Yaacov
Fraïssé limits of metric structures
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Submission date: 20 March 2012.

Abstract:

We define Fraïssé classes of metric structures and Fraïssé limits thereof, proving uniqueness, universality and approximate homogeneity, with subsequent generalisations to weak Fraïssé classes. We introduce and use the formalism of (strictly) approximate isomorphisms, which has some advantages over the more familiar formalism of finite isomorphisms which are allowed to be subsequently modified by no more than a given error term.

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Full text arXiv 1203.4459: pdf, ps.


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