On tightness and depth in superatomic Boolean algebras
classification
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math.GN
keywords
cardinallambdabooleandeptheverylargepropertysuperatomic
read the original 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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