$C^1$-generic continuum-wise expansive surface diffeomorphisms
Dynamical Systems
2026-03-16 v1
Abstract
We exhibit a local residual set of surface diffeomorphisms that are continuum-wise expansive but are not expansive. We also exhibit an open and dense set of surface diffeomorphisms where expansiveness implies being Anosov.
Cite
@article{arxiv.2603.12909,
title = {$C^1$-generic continuum-wise expansive surface diffeomorphisms},
author = {Alfonso Artigue and Bernardo Carvalho and José Cueto},
journal= {arXiv preprint arXiv:2603.12909},
year = {2026}
}