Search results for: DISSIPATIVE HOMEOMORPHISMS

• Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere

  Publication

  • G. Graff
  • R. Ortega
  • A. Ruiz-Herrera

  - COMMUNICATIONS IN CONTEMPORARY MATHEMATICS - Year 2023

  A class of dissipative orientation preserving homeomorphisms of the infinite annulus,pairs of pants, or generally any infinite surface homeomorphic to a punctured sphere isconsidered. We prove that in some isotopy classes the local behavior of such homeomor-phisms at a fixed point, namely the existence of so-called inverse saddle, impacts thetopology of the attractor — it cannot be arcwise connected

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