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PreprintCC BY 4.0arXiv

Effective Hausdorff dimension one is cofinal in the K-degrees

Abstract

Every K-degree has an upper bound of effective Hausdorff dimension one and Kurtz random sequences are cofinal in the K-degrees.

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BibTeX
@misc{zhao2026effective,
  title = {{Effective Hausdorff dimension one is cofinal in the K-degrees}},
  author = {Xuanheng Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01421},
  eprint = {2611.01421},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01421},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Effective Hausdorff dimension one is cofinal in the K-degrees
AU  - Xuanheng Zhao
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01421
UR  - https://arxiv.org/abs/2611.01421
AB  - Every K-degree has an upper bound of effective Hausdorff dimension one and Kurtz random sequences are cofinal in the K-degrees.
ER  -