On Marczewski-Burstin representable algebras

• Autorzy: Marek Balcerzak , Artur Bartoszewicz , Piotr Koszmider
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E50: Continuum hypothesis and Martin's axiom
• 06E05: Structure theory
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 1
• Strony: 55-60

Daty

wydano

2004

Twórcy

autor

Marek Balcerzak

• Institute of Mathematics, Łódź Technical University, Al. Politechniki 11, I-2, 90-924 Łódź, Poland
• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

autor

Artur Bartoszewicz

• Institite of Mathematics, Łódź Technical University, Al. Politechniki 11, I-2, 90-924 Łódź, Poland

autor

Piotr Koszmider

• Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo, SP, CEP: 05315-970, Brasil

Identyfikatory

DOI

10.4064/cm99-1-6