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Remarks on measurable Boolean algebras and sequential cardinals

G. Plebauek — 1993

Fundamenta Mathematicae

The paper offers a generalization of Kalton-Roberts' theorem on uniformly exhaustive Maharam's submeasures to the case of arbitrary sequentially continuous functionals. Applying the result one can reduce the problem of measurability of sequential cardinals to the question whether sequentially continuous functionals are uniformly exhaustive.

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