ON A METRIC GENERALIZATION OF THE tt -DEGREES AND EFFECTIVE DIMENSION THEORY
Takayuki Kihara · Journal of Symbolic Logic · 2019
Abstract In this article, we study an analogue of tt -reducibility for points in computable metric spaces. We characterize the notion of the metric tt -degree in the context of first-level Borel isomorphism. Then, we study this concept from the perspectives of effective topological dimension theory and of effective fractal dimension theory.