On tightness and depth in superatomic Boolean algebras

by Shelah and Spinas. [ShSi:663]
Proc American Math Soc, 1999
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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