On Marczewski–Burstin representable algebras

Volume 99 / 2004

Marek Balcerzak, Artur Bartoszewicz, Piotr Koszmider Colloquium Mathematicum 99 (2004), 55-60 MSC: 28A05, 06E05, 03E50. DOI: 10.4064/cm99-1-6

Abstract

We construct algebras of sets which are not MB-representable. The existence of such algebras was previously known under additional set-theoretic assumptions. On the other hand, we prove that every Boolean algebra is isomorphic to an MB-representable algebra of sets.

Authors

  • Marek BalcerzakInstitute of Mathematics
    Łódź Technical University
    Al. Politechniki 11, I-2
    90-924 Łódź, Poland
    and
    Faculty of Mathematics
    University of Łódź
    Banacha 22
    90-238 Łódź, Poland
    e-mail
  • Artur BartoszewiczInstitite of Mathematics
    Łódź Technical University
    Al. Politechniki 11, I-2
    90-924 Łódź, Poland
    e-mail
  • Piotr KoszmiderDepartamento de Matemática
    Universidade de São Paulo
    Caixa Postal 66281
    São Paulo, SP, CEP: 05315-970, Brasil
    e-mail

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