PreprintarXiv licencearXiv
The P-Ideal Dichotomy and the Failure of Two-Cardinal Square Principles
Abstract
We prove that the P-ideal dichotomy implies the negation of the square principle □(λ, ω) for every regular cardinal λ≥ω2.
Related
- On the closed neighborhood ideal of the square of broom and double broom graphs
- Failure of the G0-dichotomy for generalized Cantor spaces
- Sharp Constants, Threshold, and Failure of Uncertainty Principles on Non-trivial Flat Finsler Manifolds
- The generalized continuum hypothesis above a strongly compact cardinal
- A non-trivially non-trivial automorphism at an inaccessible cardinal
BibTeX
@misc{torresperez2026pideal,
title = {{The P-Ideal Dichotomy and the Failure of Two-Cardinal Square Principles}},
author = {Victor Torres-Perez and Liuzhen Wu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05198},
eprint = {2611.05198},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05198},
}
RIS
TY - UNPB
TI - The P-Ideal Dichotomy and the Failure of Two-Cardinal Square Principles
AU - Victor Torres-Perez
AU - Liuzhen Wu
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05198
UR - https://arxiv.org/abs/2611.05198
AB - We prove that the P-ideal dichotomy implies the negation of the square principle □(λ, ω) for every regular cardinal λ≥ω_2.
ER -