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Pré-Publication, Document De Travail Année : 2021

ON TOTALLY PERIODIC ω-LIMIT SETS FOR MONOTONE MAPS ON REGULAR CURVES

Les ensembles ω-limite totallement periodique pour les applications monotones sur les continus régulier.

Résumé

An ω-limit set of a continuous self-mapping of a compact metric space X is said to be totally periodic if all of its points are periodic. In [2], Askri and Naghmouchi proved that if f is a homeomorphism on regular curve, then every totally periodic ω-limit set is finite. In [1], Abdelli proved that for every monotone map on a local dendrite every totally periodic ω-limit set is finite. In this paper we generalize these results to monotone maps on regular curves.
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Dates et versions

hal-03018900 , version 1 (23-11-2020)
hal-03018900 , version 2 (10-06-2021)

Identifiants

  • HAL Id : hal-03018900 , version 2

Citer

Amira Mchaalia. ON TOTALLY PERIODIC ω-LIMIT SETS FOR MONOTONE MAPS ON REGULAR CURVES. 2021. ⟨hal-03018900v2⟩

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