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Examples for Souslin forcing

Haim Judah;  Andrzej Rosłanowski;  Saharon Shelah — 1994

Fundamenta Mathematicae

We give several examples of Souslin forcing notions. For instance, we show that there exists a proper analytical forcing notion without ccc and with no perfect set of incompatible elements, we give an example of a Souslin ccc partial order without the Knaster property, and an example of a totally nonhomogeneous Souslin forcing notion.

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