On Boolean algebras with strictly positive measures

Menachem Magidor; Grzegorz Plebanek

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arXiv · 1809.04118

On Boolean algebras with strictly positive measures

Menachem Magidor·Grzegorz Plebanek

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Abstract

We investigate reflection-type problems on the class SPM, of Boolean algebras carrying strictly positive finitely additive measures. We show, in particular, that in the constructible universe there is a Boolean algebra $\mathfrak A$ which is not in SPM but every subalgebra of $\mathfrak A$ of cardinality $\mathfrak c$ admits a strictly positive measure. This result is essentially due to Farah and Velickovic.

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BibTeX RIS

Menachem Magidor, Grzegorz Plebanek. 2018-09-11. On Boolean algebras with strictly positive measures. https://arxiv.org/abs/1809.04118

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