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
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.
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
Affiliations des auteurs :
Artur Bartoszewicz 1
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author = {Artur Bartoszewicz},
title = {Marczewski{\textendash}Burstin {Representations} of {Boolean} {Algebras} {
Isomorphic} to a {Power} {Set}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {239--250},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {2005},
doi = {10.4064/ba53-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba53-3-1/}
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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
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