4 The theory of image-sets

image-sets of reals are endowed with rich structural properties, including those that are best understood from the perspective of the constructible universe L. In this chapter a deeper analysis of such sets is presented to elucidate this point.

4.1 A image-basis theorem

4.1.1 Tree presentations for image-sets

Recall that given a -set A ⊆ 2ω, there ...

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