English

Continuum-wise expansiveness for generic diffeomorphisms

Dynamical Systems 2016-03-08 v1

Abstract

Let MM be a closed smooth manifold and let f:MMf:M\to M be a diffeomorphism. C1C^1-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism ff such that it is not continuum-wise expansive.

Keywords

Cite

@article{arxiv.1603.01904,
  title  = {Continuum-wise expansiveness for generic diffeomorphisms},
  author = {Manseob Lee},
  journal= {arXiv preprint arXiv:1603.01904},
  year   = {2016}
}

Comments

10pages

R2 v1 2026-06-22T13:04:52.348Z