A consistency result on thin-very tall Boolean algebras
- Cite this article as:
- Martínez, J.C. Isr. J. Math. (2001) 123: 273. doi:10.1007/BF02784131
It was proved by Baumgartner and Shelah that Con (ZFC)→Con (ZFC + “there is a superatomic Boolean algebra of width ω and height ω2”). In this paper we improve Baumgartner-Shelah’s theorem, showing that Con (ZFC)→Con (ZFC+“for every α<ω3 there is a superatomic Boolean algebra of width ω and height α”).