The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
Francisco J. Freniche · Proceedings of the American Mathematical Society · 1984
It is shown that the Vitali-Hahn-Saks theorem holds for a new class of Boolean algebras which are defined by a separation property of its disjoint sequences: the Subsequential Interpolation Property. It is also proved that this property is strictly weaker than the Interpolation Property, the $\left ( f \right )$-Property and the Subsequential Completeness Property.