# 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. arXiv: math/0009075 DOI: 10.1090/dimacs/058/09 MR: 1903854 -
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} }