A consistency result on long cardinal sequences

DOI10.1016/J.APAL.2021.103017zbMath1480.54024arXiv1901.08921OpenAlexW3181810321MaRDI QIDQ2231697

Juan Carlos Martínez, Lajos Soukup

Publication date: 30 September 2021

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08921

zbMATH Keywords

cardinal sequencesuperatomic Boolean algebraslocally compact scattered space

Mathematics Subject Classification ID

Consistency and independence results (03E35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Stone spaces (Boolean spaces) and related structures (06E15) Scattered spaces (54G12) Consistency and independence results in general topology (54A35) Structure theory of Boolean algebras (06E05)

Cites Work

• Cardinal sequences of LCS spaces under GCH
• Combinatorial set theory: Partition relations for cardinals
• A very thin thick superatomic Boolean algebra
• Remarks on superatomic Boolean algebras
• Semimorasses and nonreflection at singular cardinals
• Locally-generic Boolean algebras and cardinal sequences.
• Universal matrices and strongly unbounded functions
• Superatomic Boolean algebras constructed from strongly unbounded functions
• Cardinal sequences of length < ω₂under GCH
• Superatomic Boolean algebras constructed from morasses
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