For an uncountable regular cardinals $ \kappa,$ let $ \kappa$ -Souslin hypothesis, denoted $ SH(\kappa)$ be the assertion that there are no $ \kappa$ -Souslin trees. By a result of Jensen, $ GCH+SH(\aleph_1)$ is consistent. However, the problem of the consistency of $ GCH+SH(\aleph_2)$ is still open. Question. $ (a)$ Where the above question firstRead more
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