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The number of independent elements in the product of interval Boolean algebras

Saharon Shelah
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Abstract

We prove that in the product of kappa many Boolean algebras we cannot find an independent set of more than 2^kappa elements solving a problem of Monk (earlier it was known that we cannot find more than 2^{2^kappa} but can find 2^kappa).

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Saharon Shelah. 1993-12-15. The number of independent elements in the product of interval Boolean algebras. https://arxiv.org/abs/math/9312212

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