Strong chain transitivity in hyperspaces of uniform spaces

We apply topological definitions of strong chain transitivity and characterizetopological strong chain transitivity for the induced maps on hyperspaces ofuniform spaces. We prove that, if the induced maps on such hyperspaces exhibittopological strong chain transitivity then the base map satisfies the propertyof topological strong chain transitivity.

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Publication Details

Journal
Applied General Topology
Published
2025-04-01
DOI
https://doi.org/10.4995/agt.2025.21100
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
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article

Strong chain transitivity in hyperspaces of uniform spaces

Seyyed Alireza Ahmadi, Zahra Shabani, Nooshin Darban Maghami
Applied General Topology
Mathematical Dynamics and Fractals
article

Strong chain transitivity in hyperspaces of uniform spaces

Seyyed Alireza Ahmadi, Zahra Shabani, Nooshin Darban Maghami
article en

Abstract

We apply topological definitions of strong chain transitivity and characterizetopological strong chain transitivity for the induced maps on hyperspaces ofuniform spaces. We prove that, if the induced maps on such hyperspaces exhibittopological strong chain transitivity then the base map satisfies the propertyof topological strong chain transitivity.

Applied General TopologyVol. 26(1)
Openalex Percentile: Top 89%
Mathematical Dynamics and Fractals
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Strong chain transitivity in hyperspaces of uniform spaces — Seyyed Alireza Ahmadi, Zahra Shabani, et al. · Applied General Topology (2025) | TGRS Research Map | TGRS