On tightness and depth in superatomic boolean algebras

Saharon Shelah; Otmar Spinas

doi:10.1090/s0002-9939-99-04944-8

On tightness and depth in superatomic boolean algebras

Saharon Shelah^*, Otmar Spinas

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a large cardinal property which is consistent with L and show that for every superatomic Boolean algebra B and every cardinal A with the large cardinal property, if tightness⁺(B) ≥ λ⁺, then depth(B) ≥ λ. This improves a theorem of Dow and Monk.

Original language	English
Pages (from-to)	3475-3480
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	12
DOIs	https://doi.org/10.1090/s0002-9939-99-04944-8
State	Published - 1999

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On tightness and depth in superatomic boolean algebras

Abstract

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