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arXiv · 2104.09151

On the ideal $J[\kappa]$

Assaf Rinot
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Abstract

Motivated by a question from a recent paper by Gilton, Levine and Stejskalova, we obtain a new characterization of the ideal $J[\kappa]$, from which we confirm that $\kappa$-Souslin trees exist in various models of interest. As a corollary we get that for every integer $n$ such that $\mathfrak b<2^{\aleph_n}=\aleph_{n+1}$, if $\square(\aleph_{n+1})$ holds, then there exists an $\aleph_{n+1}$-Souslin tree.

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Assaf Rinot. 2021-04-19. On the ideal $J[\kappa]$. https://arxiv.org/abs/2104.09151

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