The sequential topology on complete Boolean algebras
逻辑
2016-09-06 v1
摘要
We investigate the sequential topology on a complete Boolean algebra determined by algebraically convergent sequences in . We show the role of weak distributivity of in separation axioms for the sequential topology. The main result is that a necessary and sufficient condition for to carry a strictly positive Maharam submeasure is that is ccc and that the space is Hausdorff. We also characterize sequential cardinals.
关键词
引用
@article{arxiv.math/9612207,
title = {The sequential topology on complete Boolean algebras},
author = {Bohuslav Balcar and Wieslaw Glowczynski and Thomas Jech},
journal= {arXiv preprint arXiv:math/9612207},
year = {2016}
}