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Superatomic Boolean algebras constructed from morasses

  • Peter Koepke (a1) and Juan Carlos Martínez (a2)

Abstract

By using the notion of a simplified (κ, 1)-morass, we construct κ-thin-tall, κ-thin-thick and, in a forcing extension, κ-very thin-thick superatomic Boolean algebras for every infinite regular cardinal κ.

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References

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[1]Baumgartner, J. E. and Shelah, S., Remarks on superatomic Boolean algebras, Annals of Pure and Applied Logic, vol. 33 (1987), pp. 109129.
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[8]Roitman, J., A very thin thick superatomic Boolean algebra, Algebra Universalis, vol. 21 (1985), pp. 137142.
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Superatomic Boolean algebras constructed from morasses

  • Peter Koepke (a1) and Juan Carlos Martínez (a2)

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