English

On the incomputability of computable dimension

Logic in Computer Science 2024-05-24 v3

Abstract

Using an iterative tree construction we show that for simple computable subsets of the Cantor space Hausdorff, constructive and computable dimensions might be incomputable.

Keywords

Cite

@article{arxiv.1904.13112,
  title  = {On the incomputability of computable dimension},
  author = {Ludwig Staiger},
  journal= {arXiv preprint arXiv:1904.13112},
  year   = {2024}
}
R2 v1 2026-06-23T08:53:07.447Z