English

Definable Hamel bases and $AC_\omega(R)$

Logic 2019-02-08 v2

Abstract

There is a model of ZF with a Δ31\Delta^1_3 definable Hamel basis in which ACω(R)AC_\omega(R) fails.

Cite

@article{arxiv.1901.04750,
  title  = {Definable Hamel bases and $AC_\omega(R)$},
  author = {Vladimir Kanovei and Ralf Schindler},
  journal= {arXiv preprint arXiv:1901.04750},
  year   = {2019}
}
R2 v1 2026-06-23T07:12:09.998Z