Abstract: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.
Keywords: boolean algebra, partial order, CCC
AMS Subject Classification: 06A07, 06E10, 04A20