论文标题
选择性独立性和$ h $ - 完美的树强迫概念
Selective Independence and $h$-Perfect Tree Forcing Notions
论文作者
论文摘要
概括了麻袋强迫的证据，我们表明，$ h $完美的树强迫金斯特恩，犹大和谢拉（Shelah）提出的概念即使迭代时，也是选择性独立家庭。结果，我们获得了$ \ mathfrak {i} = \ Mathfrak {u} <\ m atrm {non}（\ Mathcal n）= \ Mathrm {cof}（\ Mathcal n）$ and $ \\ Mathfrak {i} <\ Mathfrak}的新证据\ Mathrm {Cof}（\ Mathcal N）$以及一些相关的结果。
Generalizing the proof for Sacks forcing, we show that the $h$-perfect tree forcing notions introduced by Goldstern, Judah and Shelah preserve selective independent families even when iterated. As a result we obtain new proofs of the consistency of $\mathfrak{i} = \mathfrak{u} < \mathrm{non} (\mathcal N) = \mathrm{cof} (\mathcal N)$ and $\mathfrak{i} < \mathfrak{u} = \mathrm{non} (\mathcal N) = \mathrm{cof}( \mathcal N)$ as well as some related results.
