From the 1 of 4 linked papers with an AI index.
4 papers
Two generalisations of sharp k-transitivity
J. de la Nuez González, Rob Sullivan
The paper introduces two extensions of sharply k‑transitive group actions—one based on subgroups of the symmetric group and another on relational structures—and determines when suc…
Minimal and intrinsic topologies on monoids of elementary embeddings
J. de la Nuez Gonzalez, Zaniar Ghadernezhad, Paolo Marimon +1
To every -categorical structure one can associate two spaces of symmetries which determine the structure up to first-order bi-interpretability: the topological group $\math…
First order rigidity of homeomorphism groups of manifolds
Sang-hyun Kim, Thomas Koberda, J. de la Nuez González
For every compact, connected manifold , we prove the existence of a sentence in the language of groups such that the homeomorphism group of another compact manifold s…
Locally approximating groups of homeomorphisms of manifolds
Thomas Koberda, J. de la Nuez González
Let be a compact, connected manifold of positive dimension and let be \emph{locally approximating} in the sense that for all open $U\subseteq…