Chang's conjecture for אω

Jean Pierre Levinski; Menachem Magidor; Saharon Shelah

doi:10.1007/BF02937302

Chang's conjecture for א_ω

Jean Pierre Levinski^*
, Menachem Magidor
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We establish, starting from some assumptions of the order of magnitude of a huge cardinal, the consistency of (א_ω+1,א_ω)↠(ω₁,ω₀), as well as of some other transfer properties of the type (κ⁺,κ)↠(α⁺,α), where κ is singular.

Original language	English
Pages (from-to)	161-172
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	69
Issue number	2
DOIs	https://doi.org/10.1007/BF02937302
State	Published - Jun 1990

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title = "Chang's conjecture for אω",

abstract = "We establish, starting from some assumptions of the order of magnitude of a huge cardinal, the consistency of (אω+1,אω)↠(ω1,ω0), as well as of some other transfer properties of the type (κ+,κ)↠(α+,α), where κ is singular.",

author = "Levinski, \{Jean Pierre\} and Menachem Magidor and Saharon Shelah",

year = "1990",

month = jun,

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AU - Shelah, Saharon

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AB - We establish, starting from some assumptions of the order of magnitude of a huge cardinal, the consistency of (אω+1,אω)↠(ω1,ω0), as well as of some other transfer properties of the type (κ+,κ)↠(α+,α), where κ is singular.

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EP - 172

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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Chang's conjecture for א_ω

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