Characterizing Borel Isomorphism Among Some Weakly Minimal Trivial Theories

Danielle Ulrich

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arXiv · 2409.13134

Characterizing Borel Isomorphism Among Some Weakly Minimal Trivial Theories

Danielle Ulrich

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Abstract

We characterize having Borel isomorphism relation among some weakly minimal trivial theories, namely the examples of families of finite equivalence relations from recent joint work with Laskowski, and tame expansions of crosscutting-equivalence relations. We also prove a dichotomy in Borel complexity for the latter.

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Danielle Ulrich. 2024-09-20. Characterizing Borel Isomorphism Among Some Weakly Minimal Trivial Theories. https://arxiv.org/abs/2409.13134

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