PreprintCC BY-SA 4.0arXiv
The generalized continuum hypothesis above a strongly compact cardinal
Abstract
We answer a long-standing open question of Woodin by proving that if κ is a strongly compact cardinal and GCH holds below κ, then GCH holds.
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BibTeX
@misc{you2026generalized,
title = {{The generalized continuum hypothesis above a strongly compact cardinal}},
author = {Zhixing You},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07537},
eprint = {2610.07537},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07537},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - The generalized continuum hypothesis above a strongly compact cardinal
AU - Zhixing You
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.07537
UR - https://arxiv.org/abs/2610.07537
AB - We answer a long-standing open question of Woodin by proving that if κ is a strongly compact cardinal and GCH holds below κ, then GCH holds.
ER -