Authors: | Guzmán, Osvaldo Todorčević, Stevo |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | The P-ideal dichotomy, Martin’s axiom and entangled sets | Journal: | Israel Journal of Mathematics | Issue Date: | 2024 | Rank: | ~M22 | ISSN: | 0021-2172 | DOI: | 10.1007/s11856-024-2651-8 | Abstract: | We build a model of the P-ideal ichotomy (PID) and Martin’s axiom for ω1 (MAω1) in which there is a 2-entangled set of reals. In particular, it follows that the Open Graph Axiom or Baumgartner’s axiom for ω1-dense sets are not consequences of PID+MAω1. We review Neeman’s iteration method using two type side conditions and provide an alternative proof for the preservation of properness. |
Publisher: | Springer Link |
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