%0 Generic %1 foreman2022anticlassification %A Foreman, Matthew %A Gorodetski, Anton %D 2022 %K article %T Anti-classification results for smooth dynamical systems. Preliminary Report %U http://arxiv.org/abs/2206.09322 %X 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.

@misc{foreman2022anticlassification, 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.}, added-at = {2022-06-22T17:19:59.000+0200}, author = {Foreman, Matthew and Gorodetski, Anton}, biburl = {https://www.bibsonomy.org/bibtex/2c24cb2a647ca147dfb4e11132852af01/lacerdagabo}, description = {Anti-classification results for smooth dynamical systems. Preliminary Report}, interhash = {8bf34319840faf202f2bd73a60443c1c}, intrahash = {c24cb2a647ca147dfb4e11132852af01}, keywords = {article}, note = {cite arxiv:2206.09322}, timestamp = {2022-06-22T17:19:59.000+0200}, title = {Anti-classification results for smooth dynamical systems. Preliminary Report}, url = {http://arxiv.org/abs/2206.09322}, year = 2022 }