Remarks on measurable Boolean algebras and sequential cardinals
Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 11-22
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.
@article{10_4064_fm_143_1_11_22,
author = {Grzegorz Plebanek},
title = {Remarks on measurable {Boolean} algebras and sequential cardinals},
journal = {Fundamenta Mathematicae},
pages = {11--22},
year = {1993},
volume = {143},
number = {1},
doi = {10.4064/fm-143-1-11-22},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-11-22/}
}
TY - JOUR AU - Grzegorz Plebanek TI - Remarks on measurable Boolean algebras and sequential cardinals JO - Fundamenta Mathematicae PY - 1993 SP - 11 EP - 22 VL - 143 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-11-22/ DO - 10.4064/fm-143-1-11-22 LA - en ID - 10_4064_fm_143_1_11_22 ER -
Grzegorz Plebanek. Remarks on measurable Boolean algebras and sequential cardinals. Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 11-22. doi: 10.4064/fm-143-1-11-22
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