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A consistency result on thin-very tall Boolean algebras

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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”).

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Authors and Affiliations

  1. Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain

    Juan Carlos Martínez

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  1. Juan Carlos Martínez
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Correspondence to Juan Carlos Martínez.

Additional information

The preparation of this paper was supported by DGICYT Grant PB98-1231.

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Martínez, J.C. A consistency result on thin-very tall Boolean algebras. Isr. J. Math. 123, 273–284 (2001). https://doi.org/10.1007/BF02784131

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  • DOI: https://doi.org/10.1007/BF02784131

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