Geodesic
Marczewski–Burstin Representations of Boolean Algebras Isomorphic to a Power Set
Artur Bartoszewicz1
1 Institute of Mathematics Łódź Technical University Wólczańska 215, I-2 93-005 Łódź, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 3, pp. 239-250.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The paper contains some sufficient conditions for Marczewski–Burstin representability of an algebra $\cal A$ of sets which is isomorphic to $\mathcal P(X)$ for some $X$. We characterize those algebras of sets which are inner MB-representable and isomorphic to a power set. We consider connections between inner MB-representability and hull property of an algebra isomorphic to $\mathcal P (X)$ and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.
DOI : 10.4064/ba53-3-1
Keywords: paper contains sufficient conditions marczewski burstin representability algebra cal sets which isomorphic mathcal characterize those algebras sets which inner mb representable isomorphic power set consider connections between inner mb representability hull property algebra isomorphic mathcal completeness associated quotient algebra example infinite universally mb representable algebra given

Artur Bartoszewicz 1

1 Institute of Mathematics Łódź Technical University Wólczańska 215, I-2 93-005 Łódź, Poland 
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Artur Bartoszewicz. Marczewski–Burstin Representations of Boolean Algebras 
Isomorphic to a Power Set. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 3, pp. 239-250. doi : 10.4064/ba53-3-1. http://geodesic.mathdoc.fr/articles/10.4064/ba53-3-1/

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