%0 Journal Article %T On tightness and depth in superatomic Boolean algebras %A Saharon Shelah %A Otmar Spinas %J Mathematics %D 1998 %I arXiv %X 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. %U http://arxiv.org/abs/math/9802135v1