The Nikodym property and local properties of Boolean algebras
We study local interpolation properties and local supremum properties for a Boolean algebra. In particular, we present a new condition that is sufficient for the Nikodym property.
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.
К теореме Балцара-Франека об отображениях экстремально несвязных бикомпактов на канторов дисконтинуум
Независимые дополнения подалгебр и продакт-меры
О секвенциальных порядковых топологиях.
Об инъективной оболочке свободного модуля над строго регулярным кольцом