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arXiv · 1705.06060

A metric version of Schlichting's Theorem

Itaï Ben Yaacov·Frank Olaf Wagner
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Abstract

If F is a type-definable family of commensurable subsets, subgroups or sub-vector spaces in a metric structure, then there is an invariant subset, subgroup or sub-vector space commensurable with F. This in particular applies to type-definable or hyper-definable objects in a classical first-order structure.

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Itaï Ben Yaacov, Frank Olaf Wagner. 2017-05-17. A metric version of Schlichting's Theorem. https://arxiv.org/abs/1705.06060

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