3 papers
math.GR2026
A simple acylindrical recipe for non-split characteristic sharply -transitive actions and their generalizations
J de la Nuez Gonzalez
We provide a fairly simple list of conditions on a group acting acylindrically on a -hyperbolic metric space implying that the group admits an action on a set that is -sh…
math.GT2026
Set theory, logic, and homeomorphism groups of manifolds
James E. Hanson, Thomas Koberda, J. de la Nuez González +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.GN2025
Group topologies on groups of bi-absolutely continuous homeomorphisms
J. de la Nuez González
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…