### 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.

Back to the list of publications