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arXiv · 2206.09322

Anti-classification results for smooth dynamical systems. Preliminary Report

Matthew Foreman·Anton Gorodetski
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Abstract

The paper considers the equivalence relation of conjugacy-by-homeomorphism on diffeomorphisms of smooth manifolds. In dimension 2 and above it is shown that there is no Borel method of attaching complete numerical invariants. In dimension 5 and above it is shown that the equivalence relation is not Borel, and in fact is complete analytic.

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Matthew Foreman, Anton Gorodetski. 2022-06-19. Anti-classification results for smooth dynamical systems. Preliminary Report. https://arxiv.org/abs/2206.09322

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