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More constructions for Boolean algebras

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Abstract.

 We construct Boolean algebras with prescribed behaviour concerning depth for the free product of two Boolean algebras over a third, in ZFC using pcf; assuming squares we get results on ultraproducts. We also deal with the family of cardinalities and topological density of homomorphic images of Boolean algebras (you can translate it to topology - on the cardinalities of closed subspaces); and lastly we deal with inequalities between cardinal invariants, mainly .

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, Givat Ram, Jerusalem 91904, Israel (e-mail: shelah@math.huji.ac.il) and Rutgers University, Mathematics Department, New Brunswick, NJ, USA, , , , , , US

    Saharon Shelah

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  1. Saharon Shelah
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Received: 9 September 1998 / Published online: 7 May 2002

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Shelah, S. More constructions for Boolean algebras. Arch. Math. Logic 41, 401–441 (2002). https://doi.org/10.1007/s001530100099

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  • DOI: https://doi.org/10.1007/s001530100099

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