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

Grzegorz Graff; Rafael Ortega; Alfonso Ruiz-Herrera

doi:10.1142/s0219199722500109

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

Abstract

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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Articles

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artykuły w czasopismach

Published in:

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS no. 25, pages 1 - 17,
ISSN: 0219-1997

Language:

English

Publication year:

2023

Bibliographic description:

Graff G., Ortega R., Ruiz-Herrera A.: Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere// COMMUNICATIONS IN CONTEMPORARY MATHEMATICS -Vol. 25,iss. 04 (2023), s.1-17

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