PreprintCC BY 4.0arXiv
Jónsson cardinals, Magidor cardinals, and the number of omitted colors
Abstract
Let λ be a Magidor cardinal and let α∈[αM,λ). We show that λ→[λ]ℵ0−bdα,<α. We prove the consistency of a similar statement for Jónsson cardinals.
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BibTeX
@misc{garti2026jónsson,
title = {{Jónsson cardinals, Magidor cardinals, and the number of omitted colors}},
author = {Shimon Garti},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34189},
eprint = {2610.34189},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34189},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Jónsson cardinals, Magidor cardinals, and the number of omitted colors
AU - Shimon Garti
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34189
UR - https://arxiv.org/abs/2610.34189
AB - Let λ be a Magidor cardinal and let α∈[α_M,λ). We show that λ→[λ]^ℵ_0−bd_α,<α. We prove the consistency of a similar statement for Jónsson cardinals.
ER -