6533b836fe1ef96bd12a1390

RESEARCH PRODUCT

Surface homeomorphisms with zero dimensional singular set

Christian BonattiBoris Kolev

subject

Surface (mathematics)Pure mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]Conformal mapDynamical Systems (math.DS)01 natural sciencesKérékjártós theorySet (abstract data type)Totally disconnected spaceRegular homeomorphisms0103 physical sciencesFOS: Mathematics54H20; 57S10; 58FxxRiemann sphereMathematics - Dynamical Systems0101 mathematicsMathematics - General TopologyMathematics010102 general mathematicsGeneral Topology (math.GN)Zero (complex analysis)Applications conformesHomeomorphismHoméomorphismes des surfacesApplications conformes.Transformation (function)Limit set010307 mathematical physicsGeometry and Topology54H20 (Primary) 57S10 (Secondary) 58Fxx (Secondary)Topological conjugacy

description

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.

yearjournalcountryeditionlanguage
1998-12-01
https://hal.archives-ouvertes.fr/hal-00003264