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.
Publié le : 1998-07-05
Classification:
Applications conformes,
Homéomorphismes des surfaces,
Applications conformes.,
54H20; 57S10; 58Fxx,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00003264,
author = {Kolev, Boris and Bonatti, Christian},
title = {Surface homeomorphisms with zero dimensional singular set},
journal = {HAL},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003264}
}
Kolev, Boris; Bonatti, Christian. Surface homeomorphisms with zero dimensional singular set. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003264/