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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