Borel complexity of the family of attractors for weak IFSs

DOI10.1007/S10474-021-01199-7OpenAlexW4206924487MaRDI QIDQ2116379

Adam Kwela, Paweł Klinga

Publication date: 16 March 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01921

zbMATH Keywords

attractorBorel setweak contractionanalytic setweak iterated function system

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Fractals (28A80) Iteration of real functions in one variable (26A18)

Related Items (1)

Porosities of the sets of attractors

Cites Work

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• Attractors for iterated function systems
• Attractors for iterated function schemes on \([0, 1^N\) are exceptional]
• Counterexamples for IFS-attractors
• A note on invariant sets of iterated function systems
• Size of the set of attractors for iterated function systems
• Attractors for classes of iterated function systems
• On Fixed and Periodic Points Under Contractive Mappings
• Analytic Ideals

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