Article ID Journal Published Year Pages File Type
4661762 Annals of Pure and Applied Logic 2015 27 Pages PDF
Abstract
We show - starting from a hypermeasurable-type large cardinal assumption - that one can force a model where 2ℵω=ℵω+2, ℵω is a strong limit cardinal, and the tree property holds at all ℵ2n, for n>0. This provides a partial answer to the question whether the failure of SCH at ℵω is consistent with many cardinals below ℵω having the tree property.
Related Topics
Physical Sciences and Engineering Mathematics Logic
Authors
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