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OCA and towers in 𝒫 ( ) / f i n

Ilijas Farah (1996)

Commentationes Mathematicae Universitatis Carolinae

We shall show that Open Coloring Axiom has different influence on the algebra 𝒫 ( ) / f i n than on / f i n . The tool used to accomplish this is forcing with a Suslin tree.

On CCC boolean algebras and partial orders

András Hajnal, István Juhász, Zoltán Szentmiklóssy (1997)

Commentationes Mathematicae Universitatis Carolinae

We partially strengthen a result of Shelah from [Sh] by proving that if κ = κ ω and P is a CCC partial order with e.g. | P | κ + ω (the ω th successor of κ ) and | P | 2 κ then P is κ -linked.

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