The consistency strength of successive cardinals with the tree property

Matthew Foreman; Menachem Magidor; Ralf Dieter Schindler

doi:10.2307/2694979

The consistency strength of successive cardinals with the tree property

Matthew Foreman^*
, Menachem Magidor
, Ralf Dieter Schindler

^*Corresponding author for this work

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

If ω_n has the tree property for all 2 ≤ n < ω and ^<א_ω = א_ω, then for all X ∈ H_אω and n < ω, M^#_n(X) exists.

Original language	English
Pages (from-to)	1837-1847
Number of pages	11
Journal	Journal of Symbolic Logic
Volume	66
Issue number	4
DOIs	https://doi.org/10.2307/2694979
State	Published - Dec 2001

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title = "The consistency strength of successive cardinals with the tree property",

abstract = "If ωn has the tree property for all 2 ≤ n < ω and <אω = אω, then for all X ∈ Hאω and n < ω, M\#n(X) exists.",

author = "Matthew Foreman and Menachem Magidor and Schindler, \{Ralf Dieter\}",

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The consistency strength of successive cardinals with the tree property

Abstract

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