Sh:1093
- Horowitz, H., & Shelah, S. (2021). Transcendence bases, well-orderings of the reals and the axiom of choice. arXiv: 1901.01508 DOI: https://doi.org/10.1090/proc/15242
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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. - published version (8p)
Bib entry
@article{Sh:1093, author = {Horowitz, Haim and Shelah, Saharon}, title = {{Transcendence bases, well-orderings of the reals and the axiom of choice}}, year = {2021}, doi = {https://doi.org/10.1090/proc/15242}, note = {\href{https://arxiv.org/abs/1901.01508}{arXiv: 1901.01508}}, arxiv_number = {1901.01508} }