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Images of Bernstein sets via continuous functions

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Publication:2288402
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DOI10.1515/gmj-2019-2041zbMath1480.03057OpenAlexW2970993752WikidataQ127311611 ScholiaQ127311611MaRDI QIDQ2288402

Jacek Cichoń, Robert Rałowski, Michał Morayne

Publication date: 17 January 2020

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2041


zbMATH Keywords

continuous functionBernstein setVitali set


Mathematics Subject Classification ID

Continuous maps (54C05) Descriptive set theory (03E15) Applications of set theory (03E75)


Related Items (4)

A fiberable continuum which is not nontrivially productable ⋮ On \(T_1\)- and \(T_2\)-productable compact spaces ⋮ Nonmeasurable images ⋮ A fiberable continuum which is not nontrivially productable. II



Cites Work

  • Unnamed Item
  • Measurability properties of certain paradoxical subsets of the real line
  • Bernstein sets with algebraic properties
  • Continua which admit only the identity mapping onto non-degenerate subcontinua
  • Algebraic independence and measure




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