# 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.
@article{Sh:1093,
}