English

Computability on quasi-Polish spaces

Logic 2019-05-08 v3

Abstract

We investigate the effectivizations of several equivalent definitions of quasi-Polish spaces and study which characterizations hold effectively. Being a computable effectively open image of the Baire space is a robust notion that admits several characterizations. We show that some natural effectivizations of quasi-metric spaces are strictly stronger.

Keywords

Cite

@article{arxiv.1903.02979,
  title  = {Computability on quasi-Polish spaces},
  author = {Mathieu Hoyrup and Cristobal Rojas and Victor Selivanov and Donald M. Stull},
  journal= {arXiv preprint arXiv:1903.02979},
  year   = {2019}
}
R2 v1 2026-06-23T08:01:17.834Z