Complete sigma-centered Boolean algebra not adding Cohen reals

Details Complete sigma-centered Boolean algebra not adding Cohen reals Complete sigma-centered Boolean algebra not adding Cohen reals

1997-12-15

arxiv.org/abs/math/9712285v1

Mathematics

Logic

Scientific paper

It is shown that there exists a complete, atomless, sigma-centered Boolean
algebra, which does not contain any regular countable subalgebra if and only
if there exist a nowhere dense ultrafilter. Therefore the existence of such
algebras is undecidable in ZFC.

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