Abstract
Theorem A. There is a superatomic Boolean algebra B with size and π-character equal to ω 1 and countable depth. Theorem B. If B is a superatomic Boolean algebra with π-character greater than ω 1, then the π-character and depth of B are the same. Theorem C. I κ → ( κ) 2 < ω , then every superatomic Boolean algebra with tightness at least κ + has depth at least κ.
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