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Superatomic Boolean algebras constructed from morasses

Published:1995-09 Issue:3 Volume:60 Page:940-951
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Koepke Peter,Martínez Juan Carlos

Abstract

AbstractBy 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference12 articles.

1. On cardinal sequences of Boolean algebras

2. ω-morasses, and a weak form of Martin's axiom provable in ZFC;Velleman;Transactions of the American Mathematical Society,1984

3. On thin-tall scattered spaces

4. Remarks on superatomic boolean algebras

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