English

Minimal bounds and members of effectively closed sets

Logic 2023-09-19 v2

Abstract

We show that there exists a non-empty special Π10\Pi^0_1 class in which no member is a minimal cover for any set, hence prove that degrees of minimal covers cannot be a basis for Π10\Pi^0_1 classes.

Keywords

Cite

@article{arxiv.1806.09368,
  title  = {Minimal bounds and members of effectively closed sets},
  author = {Ahmet Çevik},
  journal= {arXiv preprint arXiv:1806.09368},
  year   = {2023}
}

Comments

19 pages, 4 figures, 1 acknowledgement