0000000000847034

AUTHOR

Boris Kolev

showing 2 related works from this author

Surface homeomorphisms with zero dimensional singular set

1998

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.

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
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Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan

1992

Let f be an orientation-preserving homeomorphism of the plane such that f-Id is contracting. Under these hypotheses, we establish the existence, for every periodic orbit, of a fixed point which has nonzero linking number with this periodic orbit.

55M20 54H20Surfaces homeomorphismsPlane (geometry)Applied MathematicsGeneral Mathematics010102 general mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Linking numberFixed pointLinking numbers01 natural sciencesHomeomorphism010101 applied mathematicsCombinatoricssymbols.namesakesymbolsPeriodic orbitsPeriodic orbitsAstrophysics::Earth and Planetary AstrophysicsMathematics - Dynamical Systems0101 mathematicsMSC : 55M20 54H20Mathematics
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