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.
Departamento de Matemáticas, Universidad de Cádiz, Apartado 40, 11510 Puerto Real (Cádiz), Spain
Bibliografia
[1] A. Aizpuru, Relaciones entre propiedades de supremo y propiedades de interpolación en álgebras de Boole, Collect. Math. 39 (1988), 115-125.
[2] A. Aizpuru, On the Grothendieck and Nikodym properties of Boolean algebras, Rocky Mountain J. Math. 22 (1992), 1-10.
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[4] F. J. Freniche, The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property, Proc. Amer. Math. Soc. 92 (1984), 362-366.
[5] F. J. Freniche, Some classes of Boolean algebras related to the Vitali-Hahn-Saks and Nikodym theorems, communication at the Meeting on Boolean Algebras, Oberwolfach, 1985.
[6] M. T. Gassó, Algebras with the local interpolation property, Rocky Mountain J. Math. 22 (1992), 181-196.
[7] R. Haydon, A non-reflexive Grothendieck space that does not contain $l_∞$, Israel J. Math. 40 (1981), 65-73.
[8] A. Moltó, On the Vitali-Hahn-Saks theorem, Proc. Roy. Soc. Edinburgh Sect. A 90 (1981), 163-173.
[9] W. Schachermayer, On some classical measure theoretic theorems for non-$σ$-complete Boolean algebras, technical report, Linz University, 1978.
[10] G. Seever, Measures on F-spaces, Trans. Amer. Math. Soc. 133 (1968), 267-280.
[11] M. Talagrand, Propriété de Nikodym et propriété de Grothendieck, Studia Math. 68 (1984), 165-171.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-cmv71i1p79bwm
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