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

@article{Staiger20,
  title = {On the incomputability of computable dimension},
  author = {Ludwig Staiger},
  journal = {Logical Methods in Computer Science},
  volume = {Volume 16, Issue 2},
  year = {2020},
  doi = {10.23638/lmcs-16(2:5)2020}
}