J. de la Nuez González

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20192025

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math.GR2023

Uniform first order interpretation of the second order theory of countable groups of homeomorphisms

Thomas Koberda, J. de la Nuez González

We show that the first order theory of the homeomorphism group of a compact manifold interprets the full second order theory of countable groups of homeomorphisms of the manifold.…

math.GR2023

First order rigidity of homeomorphism groups of manifolds

Sang-hyun Kim, Thomas Koberda, J. de la Nuez González

For every compact, connected manifold $M$ , we prove the existence of a sentence $ϕ_{M}$ in the language of groups such that the homeomorphism group of another compact manifold $N$ sa…