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Remarks on measurable Boolean algebras and sequential cardinals. (English) Zbl 0788.28003
A generalization of Kalton-Roberts’ theorem is given stating that the existence of a uniform Mazur functional on a \(\delta\)-complete Boolean algebra implies its measurability. The result is then applied to give a partial answer to the problem of measurability of sequential cardinals.

MSC:
28A60 Measures on Boolean rings, measure algebras
06E05 Structure theory of Boolean algebras
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