Densities of ultraproducts of Boolean algebras

Details Densities of ultraproducts of Boolean algebras Densities of ultraproducts of Boolean algebras

1994-04-15

arxiv.org/abs/math/9404226v1

Canad. J. Math. 47 (1995), 132--145

Mathematics

Logic

Scientific paper

We answer three problems by J. D. Monk on cardinal invariants of Boolean
algebras. Two of these are whether taking the algebraic density pi(A), resp.
the topological density d(A), of a Boolean algebra A commutes with formation
of ultraproducts; the third one compares the number of endomorphisms and of
ideals of a Boolean algebra.

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