Baumgartner's isomorphism problem for \(\aleph _2\)-dense suborders of \(\mathbb {R}\)

DOI10.1007/S00153-017-0549-4zbMath1454.03060OpenAlexW2623123168MaRDI QIDQ2408085

Justin Tatch Moore, Stevo Todorčević

Publication date: 9 October 2017

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-017-0549-4

zbMATH Keywords

Martin's axiomlinear order\(\aleph _2\)-dense setsreal type

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items (4)

Open problems on countable dense homogeneity ⋮ Non-absoluteness of Hjorth’s cardinal characterization ⋮ Linear orders: When embeddability and epimorphism agree ⋮ Ken's colorful questions

Cites Work

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• Set theory. An introduction to independence proofs. 2nd print
• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
• Iterated Cohen extensions and Souslin's problem
• On the intersection of closed unbounded sets
• Partition Problems in Topology
• Αll $ℵ_1$-dense sets of reals can be isomorphic
• Concerning similarity transformations of linearly ordered sets

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