Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set

Artur Bartoszewicz. "Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set." Bulletin of the Polish Academy of Sciences. Mathematics 53.3 (2005): 239-250. <http://eudml.org/doc/280475>.

@article{ArturBartoszewicz2005,
abstract = {The paper contains some sufficient conditions for Marczewski-Burstin representability of an algebra 𝓐 of sets which is isomorphic to 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 𝓟 (X) and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.},
author = {Artur Bartoszewicz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {3},
pages = {239-250},
title = {Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set},
url = {http://eudml.org/doc/280475},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Artur Bartoszewicz
TI - Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 3
SP - 239
EP - 250
AB - The paper contains some sufficient conditions for Marczewski-Burstin representability of an algebra 𝓐 of sets which is isomorphic to 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 𝓟 (X) and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.
LA - eng
UR - http://eudml.org/doc/280475
ER -