Remarks on measurable Boolean algebras and sequential cardinals
Volume 143 / 1993
Fundamenta Mathematicae 143 (1993), 11-22
DOI: 10.4064/fm-143-1-11-22
Abstract
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.
