Rafael Ortega - Publications - Bridge of Knowledge

Rafael Ortega

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Year 2023

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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