English

Surface homeomorphisms with zero dimensional singular set

Dynamical Systems 2019-01-03 v2 General Topology

Abstract

We prove that if f is an orientation-preserving homeomorphism of a closed orientable surface M whose singular set is totally disconnected, then f is topologically conjugate to a conformal transformation.

Keywords

Cite

@article{arxiv.math/0303261,
  title  = {Surface homeomorphisms with zero dimensional singular set},
  author = {Christian Bonatti and Boris Kolev},
  journal= {arXiv preprint arXiv:math/0303261},
  year   = {2019}
}

Comments

22 pages