A NEW MINIMAL NON-σ-SCATTERED LINEAR ORDER

DOI10.1017/jsl.2019.49zbMath1506.03108arXiv1711.03687OpenAlexW2958785924MaRDI QIDQ5207567

Hossein Lamei Ramandi

Publication date: 10 January 2020

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03687

zbMATH Keywords

Kurepa treesclub embeddingnon-\(\sigma\)-scattered

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (2)

On minimal non-\(\sigma\)-scattered linear orders ⋮ Galvin's question on non-\( \sigma \)-well ordered linear orders

Cites Work

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• Isomorphism types of Aronszajn trees
• There may be no minimal non-\(\sigma\)-scattered linear orders
• \(\omega_1\) and \(-\omega_1\) may be the only minimal uncountable linear orders
• On Fraissé's order type conjecture
• Well-quasi-ordering Aronszajn lines
• Minimality of non-σ-scattered orders
• A new class of order types
• Αll $ℵ_1$-dense sets of reals can be isomorphic
• A minimal Kurepa tree with respect to club embeddings

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