A note on a forcing related to the S‐space problem in the extension with a coherent Suslin tree

Mathematical Logic Quarterly 61 (3):169-178 (2015)
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Abstract

One of the main problems about is that whether a coherent Suslin tree forces that there are no S‐spaces under. We analyze a forcing notion related to this problem, and show that under, S forces that every topology on ω1 generated by a basis in the ground model is not an S‐topology. This supplements the previous work due to Stevo Todorčević [25].

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10.1002/malq.201300066

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Combinatorial dichotomies in set theory.Stevo Todorcevic - 2011 - Bulletin of Symbolic Logic 17 (1):1-72.

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