Finitely additive measures on 𝑁 and the additive property

Mekler, Alan H.

doi:10.1090/S0002-9939-1984-0759670-1

Finitely additive measures on $\textrm {\textbf {N}}$ and the additive property
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by Alan H. Mekler PDF

Proc. Amer. Math. Soc. 92 (1984), 439-444 Request permission

Abstract:

Finitely additive measures on ${\mathbf {N}}$ satisfying an approximation of countable additivity, called (AP), are studied. These measures are generalizations of $p$-points. From a $p$-point a translation invariant measure with (AP) is constructed. It is consistent that no measure with (AP) exists.

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