Approximation of structures:local and global

Boris Zilber

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arXiv · 2604.00720

Approximation of structures:local and global

Boris Zilber

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Abstract

We provide a mathematically rigorous definition of local approximation and demonstrate its applicability to some interesting classes of structures. In particular, we prove that any compact simple Lie group is locally approximated by finite groups. The definition and main examples are motivated by physics but the techniques are of model theory. Namely, we introduce the ultraproduct of emerging metric structures, which generalises the ultraproduct in metric model theory.

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BibTeX RIS

Boris Zilber. 2026-04-01. Approximation of structures:local and global. https://arxiv.org/abs/2604.00720

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