The Nikodym property and local properties of Boolean algebras

Czasopismo

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• Autorzy: Antonio Aizpuru
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: ---
• Rocznik: 1996
• Tom: 71
• Numer: 1
• Strony: 79-85

Daty

wydano

1996

otrzymano

1995-02-23

poprawiono

1995-10-11

Twórcy

autor

Antonio Aizpuru

• Departamento de Matemáticas, Universidad de Cádiz, Apartado 40, 11510 Puerto Real (Cádiz), Spain

Bibliografia

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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.
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• [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.
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