English

Effective Localization number: building $k$-surviving degrees

Logic 2021-11-02 v1

Abstract

We introduce and study effective versions of the localization numbers introduced by Newelski and Roslanowski (cite in paper). We show that proper hierarchies are produced, and that the corresponding highness notions are relatively weak, in that they can often be made computably traceable. We discuss connections with other better-understood effective cardinal characteristics.

Cite

@article{arxiv.1804.05041,
  title  = {Effective Localization number: building $k$-surviving degrees},
  author = {Iván Ongay-Valverde and Noah Schweber},
  journal= {arXiv preprint arXiv:1804.05041},
  year   = {2021}
}

Comments

17 pages, submitted

R2 v1 2026-06-23T01:23:11.663Z