Israel Journal of Mathematics

, Volume 123, Issue 1, pp 273–284

A consistency result on thin-very tall Boolean algebras

Article

DOI: 10.1007/BF02784131

Cite this article as:
Martínez, J.C. Isr. J. Math. (2001) 123: 273. doi:10.1007/BF02784131

Abstract

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”).

Copyright information

© The Hebrew University Magnes Press 2001

Authors and Affiliations

  1. 1.Facultat de MatemàtiquesUniversitat de BarcelonaBarcelonaSpain

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