Uncountable strongly surjective linear orders
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Publication:1732801
DOI10.1007/S11083-018-9454-7zbMath1444.03143arXiv1706.10171OpenAlexW2964046392MaRDI QIDQ1732801
Publication date: 25 March 2019
Published in: Order (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.10171
uniformizationminimalitylinear orderweak diamondSuslin tree\(\aleph_{1}\)-densestrongly surjective linear order
Consistency and independence results (03E35) Total orders (06A05) Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)
Related Items (3)
On minimal non-\(\sigma\)-scattered linear orders ⋮ Linear orders: When embeddability and epimorphism agree ⋮ A model with Suslin trees but no minimal uncountable linear orders other than \(\omega_1\) and \(- \omega_1\)
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- Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
- A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
- Walks on ordinals and their characteristics
- \(\omega_1\) and \(-\omega_1\) may be the only minimal uncountable linear orders
- Parametrized $\diamondsuit $ principles
- Set Theory
- Αll $ℵ_1$-dense sets of reals can be isomorphic
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