Topological fractals revisited

Klára Karasová and Benjamin Vejnar

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: We prove that every Peano continuum with uncountably many local cut points is a topological fractal. This extends some recent results and gives a partial answer to a conjecture by Hata. We also discuss the number of maps which are sufficient for witnessing the structure of a topological fractal.

Keywords: Topological fractal; Peano continuum; Local cut point (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077924014000

DOI: 10.1016/j.chaos.2024.115848

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