| Authors: | Todorčević, Stevo Xiong, Shihao |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Limits on forcing axioms at ω2 compatible with the continuum hypothesis | Journal: | Archive for Mathematical Logic | Volume: | 65 | First page: | 411 | Last page: | 423 | Issue Date: | 2026 | Rank: | M23 | ISSN: | 0933-5846 | DOI: | 10.1007/s00153-025-01003-1 | Abstract: | We show that the forcing axiom for countably compact, ω2-Knaster, well-met posets is inconsistent. This is supplemental to an inconsistency result of Shelah [9] and sets a new limit to the generalization of Martin’s Axiom to the stage of ω2. |
Keywords: | Forcing axioms | Walks on Ordinals | Publisher: | Springer Link |
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