On incomparability and related cardinal functions on ultraproducts of Boolean algebras

Mathematics – Logic

Scientific paper

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Scientific paper

Let C denote any of the following cardinal characteristics of Boolean algebras: incomparability, spread, character, pi-character, hereditary Lindelof number, hereditary density. It is shown to be consistent that there exists a sequence of Boolean algebras and an ultrafilter D on kappa such that C(prod_{i

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