Superatomic Boolean Algebras: maximal rigidity

2000/09/07 by Saharon Shelah, Shelah, Saharon
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO

paper · pdf · doi:10.48550/arxiv.math/0009075

published as in: {Set theory (Piscataway, NJ, 1999)} (2002) 107--128

arxiv created 2000/09/07 · openalex publication_date 2000/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for any superatomic Boolean Algebra of cardinality >beth_omega there is an automorphism moving uncountably many atoms. Similarly for larger cardinals. Any of those results are essentially best possible.

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