Left-distributive embedding algebras.
Properties of the gimel function and a classification of singular cardinals
Variants of the axiom of choice in set theory with atoms
The sequential topology on complete Boolean algebras
We investigate the sequential topology on a complete Boolean algebra B determined by algebraically convergent sequences in B. We show the role of weak distributivity of B in separation axioms for the sequential topology. The main result is that a necessary and sufficient condition for B to carry a strictly positive Maharam submeasure is that B is ccc and that the space is Hausdorff. We also characterize sequential cardinals.
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