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The sequential topology on complete Boolean algebras by Balcar, Bohuslav; Glowczynski, Wieslaw; Jech, Thomas is a scholarly article available to read on EtoBox.

What is The sequential topology on complete Boolean algebras about?

We investigate the sequential topology $\tau_s$ 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 $(B,\tau_s)$ is Hausdorff. We also characterize sequential cardinals.

Author

Balcar, Bohuslav; Glowczynski, Wieslaw; Jech, Thomas

Published

1996

Language

EN