PreprintCC BY-NC-SA 4.0arXiv
Forcing square with small conditions
Abstract
We show that if κ<κ = κ, then there is a κ-strategically closed, κ+-c.c. partial order that forces □κ. We discuss consequences for generic large cardinals.
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BibTeX
@misc{eskew2026forcing,
title = {{Forcing square with small conditions}},
author = {Monroe Eskew},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34900},
eprint = {2610.34900},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34900},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Forcing square with small conditions
AU - Monroe Eskew
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.34900
UR - https://arxiv.org/abs/2610.34900
AB - We show that if κ^<κ = κ, then there is a κ-strategically closed, κ^+-c.c. partial order that forces □_κ. We discuss consequences for generic large cardinals.
ER -