D. J.

collaborators

4 papers

math.GR2026

A simple acylindrical recipe for non-split characteristic $2$ sharply $k$ -transitive actions and their generalizations

J de la Nuez Gonzalez

We provide a fairly simple list of conditions on a group $G$ acting acylindrically on a $δ$ -hyperbolic metric space implying that the group admits an action on a set that is $k$ -sh…

math.GT2026

Set theory, logic, and homeomorphism groups of manifolds

James E. Hanson, Thomas Koberda, J. de la Nuez GonzÃ¡lez +1

We investigate the relationship between axiomatic set theory and the first-order theory of homeomorphism groups of manifolds in the language of group theory, concentrating on first…

math.GR2026

Elementary equivalence and diffeomorphism groups of smooth manifolds

Sang-hyun Kim, Thomas Koberda, J. de la Nuez GonzÃ¡lez

Let $M$ and $N$ be smooth manifolds, with $M$ closed and connected. If the $C^{r}$ --diffeomorphism group of $M$ is elementarily equivalent to the $C^{s}$ --diffeomorphism group of $N$ f…

math.GN2025

Group topologies on groups of bi-absolutely continuous homeomorphisms

J. de la Nuez GonzÃ¡lez

The group of homeomorphisms of the closed interval that are absolutely continuous and have an absolutely continuous inverse was shown by Solecki to admit a natural Polish group top…

A simple acylindrical recipe for non-split characteristic 2 sharply k-transitive actions and their generalizations

Set theory, logic, and homeomorphism groups of manifolds

Elementary equivalence and diffeomorphism groups of smooth manifolds

Group topologies on groups of bi-absolutely continuous homeomorphisms

A simple acylindrical recipe for non-split characteristic $2$ sharply $k$ -transitive actions and their generalizations