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On tightness and depth in superatomic Boolean algebras

Saharon Shelah·Otmar Spinas
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Abstract

We introduce a large cardinal property which is consistent with L and show that for every superatomic Boolean algebra B and every cardinal lambda with the large cardinal property, if tightness^+(B) >= lambda^+, then depth (B) >= lambda. This improves a theorem of Dow and Monk.

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Saharon Shelah, Otmar Spinas. 1998-02-15. On tightness and depth in superatomic Boolean algebras. https://arxiv.org/abs/math/9802135

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