PreprintCC BY 4.0arXiv
Identity crisis on tightly C(2)-compact cardinals
Abstract
Bagaria and Goldberg asked if κ being tightly C(n)-compact implies κ∈ C(n+1) for natural numbers n≥ 1? Usuba gave a negative answer for n=1. In this paper we give a negative answer for n=2.
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BibTeX
@misc{zhang2026identity,
title = {{Identity crisis on tightly $C^(2)$-compact cardinals}},
author = {Fengju Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25099},
eprint = {2610.25099},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25099},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Identity crisis on tightly C^(2)-compact cardinals
AU - Fengju Zhang
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2610.25099
UR - https://arxiv.org/abs/2610.25099
AB - Bagaria and Goldberg asked if κ being tightly C^(n)-compact implies κ∈ C^(n+1) for natural numbers n≥ 1? Usuba gave a negative answer for n=1. In this paper we give a negative answer for n=2.
ER -