On a metric generalization of the $tt$-degrees and effective dimension theory
Logic
2018-03-13 v1 Logic in Computer Science
Abstract
In this article, we study an analogue of -reducibility for points in computable metric spaces. We characterize the notion of the metric -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.
Keywords
Cite
@article{arxiv.1803.03753,
title = {On a metric generalization of the $tt$-degrees and effective dimension theory},
author = {Takayuki Kihara},
journal= {arXiv preprint arXiv:1803.03753},
year = {2018}
}