Abstract
Starting with infinitely many supercompact cardinals, we show that the tree property at every cardinal ℵn, 1<n<ω, is consistent with an arbitrary continuum function below ℵω which satisfies 2ℵn>ℵn+1, n<ω. Thus the tree property has no provable effect on the continuum function below ℵω except for the restriction that the tree property at κ++ implies 2κ>κ+ for every infinite κ.
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