Souslin trees which are hard to specialise

Cummings, James

doi:10.1090/S0002-9939-97-03796-9

Souslin trees which are hard to specialise
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by James Cummings PDF

Proc. Amer. Math. Soc. 125 (1997), 2435-2441 Request permission

Abstract:

We construct some $\kappa ^+$-Souslin trees which cannot be specialised by any forcing which preserves cardinals and cofinalities. For $\kappa$ a regular cardinal we use the box-diamond principle, and for $\kappa$ singular we use squares and diamonds.

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