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Keywords:
boolean algebra; partial order; CCC
Summary:
We partially strengthen a result of Shelah from [Sh] by proving that if $\kappa =\kappa ^{\omega }$ and $P$ is a CCC partial order with e.g. $|P|\leq \kappa ^{+\omega }$ (the $\omega ^{\text{th}}$ successor of $\kappa$) and $|P|\leq 2^{\kappa }$ then $P$ is $\kappa$-linked.
References:
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