The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property

Freniche, Francisco José

doi:10.1090/S0002-9939-1984-0759653-1

The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property
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by Francisco José Freniche PDF

Proc. Amer. Math. Soc. 92 (1984), 362-366 Request permission

Abstract:

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.

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