Some combinatorial properties of splitting trees

Jonathan Schilhan

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arXiv · 2106.07511

Some combinatorial properties of splitting trees

Jonathan Schilhan

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Abstract

We show that splitting forcing does not have the weak Sacks property below any condition, answering a question of Laguzzi, Mildenberger and Stuber-Rousselle. We also show how some partition results for splitting trees hold or fail and we determine the value of cardinal invariants after an $\omega_2$-length countable support iteration of splitting forcing.

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BibTeX RIS

Jonathan Schilhan. 2021-06-14. Some combinatorial properties of splitting trees. https://arxiv.org/abs/2106.07511

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