Successive cardinals with no partial square

Archive for Mathematical Logic 53 (1-2):11-21 (2014)
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Abstract

We construct a model in which for all 1 ≤ n < ω, there is no stationary subset of ${\aleph_{n+1} \cap {\rm cof}(\aleph_n)}$ which carries a partial square

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10.1007/s00153-013-0352-9

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References found in this work

Reflecting stationary sets and successors of singular cardinals.Saharon Shelah - 1991 - Archive for Mathematical Logic 31 (1):25-53.
Reflecting stationary sets.Menachem Magidor - 1982 - Journal of Symbolic Logic 47 (4):755-771.
Notes on Singular Cardinal Combinatorics.James Cummings - 2005 - Notre Dame Journal of Formal Logic 46 (3):251-282.
An equiconsistency result on partial squares.John Krueger & Ernest Schimmerling - 2011 - Journal of Mathematical Logic 11 (1):29-59.

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