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Simple mixing actions with uncountably many prime factors

Volume 139 / 2015

Alexandre I. Danilenko, Anton V. Solomko Colloquium Mathematicum 139 (2015), 37-54 MSC: 37A05, 37A10. DOI: 10.4064/cm139-1-3

Abstract

Via the $(C,F)$-construction we produce a 2-fold simple mixing transformation which has uncountably many non-trivial proper factors and all of them are prime.

Authors

  • Alexandre I. DanilenkoInstitute for Low Temperature Physics & Engineering
    National Academy of Sciences of Ukraine
    47 Lenin Ave.
    Kharkiv, 61103, Ukraine
    e-mail
  • Anton V. SolomkoInstitute for Low Temperature Physics & Engineering
    National Academy of Sciences of Ukraine
    47 Lenin Ave.
    Kharkiv, 61103, Ukraine
    e-mail

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