PreprintCC BY 4.0arXiv
The Boolean Prime Ideal Theorem and Vitali Sets
Abstract
If ZFC is consistent, then so is ZF+DC+BPI+there is no Vitali set.
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BibTeX
@misc{zapletal2026boolean,
title = {{The Boolean Prime Ideal Theorem and Vitali Sets}},
author = {Jindrich Zapletal},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17087},
eprint = {2609.17087},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17087},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Boolean Prime Ideal Theorem and Vitali Sets
AU - Jindrich Zapletal
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.17087
UR - https://arxiv.org/abs/2609.17087
AB - If ZFC is consistent, then so is ZF+DC+BPI+there is no Vitali set.
ER -