Scales in K(R)
نویسنده
چکیده
In this paper, we shall extend the fine-structural analysis of scales in L(R) ([7]) and L(μ,R) ([1]) to models of the form L( ~ E,R), constructed over the reals from a coherent sequence ~ E of extenders. We shall show that in the natural hierarchy in an iterable model of the form L( ~ E,R) satisfying AD , the appearance of scales on sets of reals not previously admitting a scale is tied to the verification of new Σ1 statements about ~ E and individual reals in exactly the same way as it is in the special case ~ E = ∅ of [7]. For example, we shall show:
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