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Souslin trees which are hard to specialise
Authors:James Cummings
Affiliation:Mathematics Institute, Hebrew University, Givat Ram, 91904 Jerusalem, Israel
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 $ begin {picture}(6,6)(0,0) drawline (0,3)(3,6)(6,3) (3,0)(0,3) drawline (0,6)(6,6)(6,0) (0,0)(0,6) end {picture} $ principle, and for $kappa $ singular we use squares and diamonds.

Keywords:Souslin trees   ascent paths   squares and diamonds
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