4 research outputs found
Boundedness Theorems for Flowers and Sharps
Abstract. We show that the Sigma11
- and Sigma12
-boundedness theorems extend to
the category of continuous dilators. We then apply these results to conclude
the corresponding theorems for the category of sharps of real numbers, thus
establishing another connection between Proof Theory and Set Theory, and
extending work of Girard-Normann and Kechris-Woodin