On tightness and depth in superatomic Boolean algebras

Details On tightness and depth in superatomic Boolean algebras On tightness and depth in superatomic Boolean algebras

1998-02-15

arxiv.org/abs/math/9802135v1

Mathematics

Logic

Scientific paper

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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