The depth of ultraproducts of Boolean algebras

Saharon Shelah

doi:10.1007/s00012-005-1925-1

The depth of ultraproducts of Boolean algebras

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

We show that if μ is a compact cardinal then the depth of ultraproducts of less than μ many Boolean algebras is at most μ plus the ultraproduct of the depths of those Boolean algebras.

Original language	English
Pages (from-to)	91-96
Number of pages	6
Journal	Algebra Universalis
Volume	54
Issue number	1
DOIs	https://doi.org/10.1007/s00012-005-1925-1
State	Published - Oct 2005

Keywords

Boolean algebras
Cardinal invariants
Set theory
Ultraproducts

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10.1007/s00012-005-1925-1

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abstract = "We show that if μ is a compact cardinal then the depth of ultraproducts of less than μ many Boolean algebras is at most μ plus the ultraproduct of the depths of those Boolean algebras.",

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The depth of ultraproducts of Boolean algebras

Abstract

Keywords

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