Beyond Borel-amenability: scales and superamenable reducibilities
Luca Motto Ros
TL;DR
This paper explores the structure of degrees induced by large reducibilities within the framework of the Axiom of Determinacy, extending previous analyses from Borel to projective levels.
Contribution
It generalizes the understanding of degree-structures from Borel to projective levels under large reducibilities and the Axiom of Determinacy.
Findings
Extended degree-structure analysis to projective levels
Identified properties of superamenable reducibilities
Generalized Borel reducibility results
Abstract
We analyze the degree-structure induced by large reducibilities under the Axiom of Determinacy. This generalizes the analysis of Borel reducibilities given in references [1], [6] and [5] e.g. to the projective levels.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Limits and Structures in Graph Theory · Mathematical and Theoretical Analysis