Title of article
Forcing closed unbounded subsets of ω2 Original Research Article
Author/Authors
M.C. Stanley، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
65
From page
23
To page
87
Abstract
It is shown that there is no satisfactory first-order characterization of those subsets of ω2 that have closed unbounded subsets in ω1,ω2 and GCH preserving outer models. These “anticharacterization” results generalize to subsets of successors of uncountable regular cardinals. Similar results are proved for trees of height and cardinality κ+ and for partitions of [κ+]2, when κ is an infinite cardinal.
Keywords
Stationary set , Tree , Closed unbounded set , Partition , Forcing , Class forcing , Morass , Coding the universe
Journal title
Annals of Pure and Applied Logic
Serial Year
2001
Journal title
Annals of Pure and Applied Logic
Record number
889790
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