On Marczewski-Burstin representable algebras

Marek Balcerzak; Artur Bartoszewicz; Piotr Koszmider

Colloquium Mathematicae (2004)

  • Volume: 99, Issue: 1, page 55-60
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Marek Balcerzak, Artur Bartoszewicz, and Piotr Koszmider. "On Marczewski-Burstin representable algebras." Colloquium Mathematicae 99.1 (2004): 55-60. <http://eudml.org/doc/284430>.

@article{MarekBalcerzak2004,
abstract = {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.},
author = {Marek Balcerzak, Artur Bartoszewicz, Piotr Koszmider},
journal = {Colloquium Mathematicae},
keywords = {Boolean algebra; algebra of sets; MB-representation; Martin's axiom},
language = {eng},
number = {1},
pages = {55-60},
title = {On Marczewski-Burstin representable algebras},
url = {http://eudml.org/doc/284430},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Marek Balcerzak
AU - Artur Bartoszewicz
AU - Piotr Koszmider
TI - On Marczewski-Burstin representable algebras
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 1
SP - 55
EP - 60
AB - 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.
LA - eng
KW - Boolean algebra; algebra of sets; MB-representation; Martin's axiom
UR - http://eudml.org/doc/284430
ER -

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