Beyond Borel-amenability: scales and superamenable reducibilities

We analyze the degree-structure induced by large reducibilities under the Axiom of Determinacy. This generalizes the analysis of Borel reducibilities given in Alessandro Andretta and Donald A. Martin (2003) [1], Luca Motto Ros (2009) [6] and Luca Motto Ros (in press) [5] e.g. to the projective levels.