Year: 2026
Type: preprint
Abstract: We show that, relative to the existence of an inaccessible cardinal, it is consistent that for an inaccessible cardinal $κ$, there is a non-trivial automorphism of $\mathcal{P}(κ)/\mathrm{fin}$ whose restriction to $\mathcal{P}(β)/\mathrm{fin}$ is induced by a bijection on $β$ for every $β<κ$. This answers questions posed by Larson--McKenney, Shelah--Steprāns, and Veličković.
Source: arXiv (Cornell University)
Authors: Poór, Márk, Zhang, Jing
Institution: HUN-REN Alfréd Rényi Institute of Mathematics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212071249