# Sh:704

• Shelah, S. (2002). Superatomic Boolean algebras: maximal rigidity. In Set theory (Piscataway, NJ, 1999), Vol. 58, Amer. Math. Soc., Providence, RI, pp. 107–128.
• 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.
• Version 2007-07-30_10 (31p) published version (22p)
Bib entry
@incollection{Sh:704,
author = {Shelah, Saharon},
title = {{Superatomic Boolean algebras: maximal rigidity}},
booktitle = {{Set theory (Piscataway, NJ, 1999)}},
series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
volume = {58},
year = {2002},
pages = {107--128},
publisher = {Amer. Math. Soc., Providence, RI},
mrnumber = {1903854},
mrclass = {03E04 (06E99 20B27)},
doi = {10.1090/dimacs/058/09},
note = {\href{https://arxiv.org/abs/math/0009075}{arXiv: math/0009075}},
arxiv_number = {math/0009075},
keyword = {Set Theory, Boolean Algebras, superatomic, rigid; pcf, MAD}
}