Geodesic
On Marczewski–Burstin representable algebras
Marek Balcerzak 1   ; Artur Bartoszewicz 2   ; Piotr Koszmider 3
1 Institute 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
2 Institite of Mathematics Łódź Technical University Al. Politechniki 11, I-2 90-924 Łódź, Poland
3 Departamento de Matemática Universidade de São Paulo Caixa Postal 66281 São Paulo, SP, CEP: 05315-970, Brasil
Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 55-60 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm99-1-6
Keywords: construct algebras sets which mb representable existence algebras previously known under additional set theoretic assumptions other prove every boolean algebra isomorphic mb representable algebra sets

Marek Balcerzak  1   ; Artur Bartoszewicz  2   ; Piotr Koszmider  3

1 Institute 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
2 Institite of Mathematics Łódź Technical University Al. Politechniki 11, I-2 90-924 Łódź, Poland
3 Departamento de Matemática Universidade de São Paulo Caixa Postal 66281 São Paulo, SP, CEP: 05315-970, Brasil 
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     title = {On {Marczewski{\textendash}Burstin} representable algebras},
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Marek Balcerzak; Artur Bartoszewicz; Piotr Koszmider. On Marczewski–Burstin representable algebras. Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 55-60. doi: 10.4064/cm99-1-6

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