Authors: Kuzeljević, Boriša
Todorčević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: P-ideal dichotomy and a strong form of the suslin hypothesis
Journal: Fundamenta Mathematicae
Volume: 251
Issue: 1
First page: 17
Last page: 33
Issue Date: 19-Jun-2020
Rank: M23
ISSN: 0016-2736
DOI: 10.4064/fm864-2-2020
Abstract: 
We introduce a forcing notion which forces the P-ideal dichotomy, while every almost Suslin tree from the ground model remains non-special. Thus, while the P-ideal dichotomy implies the Suslin Hypothesis, or equivalently that every Aronszajn tree has an uncountable antichain, it does not imply that every Aronszajn tree has a stationary antichain.
Keywords: Almost Suslin tree | P-ideal dichotomy | Special Aronszajn tree
Publisher: Instytut Matematyczny Polskiej Akademii Nauk

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