On Marczewski-Burstin representable algebras
Marek Balcerzak ; Artur Bartoszewicz ; Piotr Koszmider
Colloquium Mathematicae, Tome 100 (2004), p. 55-60 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284430 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-6,
     author = {Marek Balcerzak and Artur Bartoszewicz and Piotr Koszmider},
     title = {On Marczewski-Burstin representable algebras},
     journal = {Colloquium Mathematicae},
     volume = {100},
     year = {2004},
     pages = {55-60},
     zbl = {1067.28002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-6}
}

Marek Balcerzak; Artur Bartoszewicz; Piotr Koszmider. On Marczewski-Burstin representable algebras. Colloquium Mathematicae, Tome 100 (2004) pp. 55-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-6/