**Authors**: Bohuslav Balcar, Wieslaw Glowczynski and Thomas Jech

**Title:** *The sequential topology on complete Boolean algebras*

Fundamenta Mathematicae 155 (1998)

**Abstract:**
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 sequential topology is Hausdorff.
We also characterize sequential cardinals.

**Author**: Thomas Jech

**Title:** *The logarithmic distribution of leading digits and
finitely additive measures *

Discrete Math. 108 (1992)

**Abstract:** We state a necessary and sufficient condition
for a probability measure to satisfy the first digit law.

**Author**: Thomas Jech

**Title:** *Local topology and a spectral theorem *

Operator Theory 48 (1990)

**Abstract:** We introduce a generalization of topological spaces,
which makes it possible to define, among others, convergence a.e., and
to prove an abstract version of the spectral theorem. Our approach is
related to Boolean-valued analysis.