# Sh:1093

• Horowitz, H., & Shelah, S. Transcendence bases, well-orderings of the reals and the axiom of choice. Preprint. arXiv: 1901.01508
• Abstract:
We prove that ZF+DC+"there exists a transcendence basis for the reals"+"there is no well-ordering of the reals" is consistent relative to ZFC. This answers a question of Larson and Zapletal.
Bib entry
@article{Sh:1093,
author = {Horowitz, Haim and Shelah, Saharon},
title = {{Transcendence bases, well-orderings of the reals and the axiom of choice}},
note = {\href{https://arxiv.org/abs/1901.01508}{arXiv: 1901.01508}},
arxiv_number = {1901.01508}
}