NOWHERE TRIVIAL AUTOMORPHISMS OF $P(\lambda )/[\lambda ]^{\lt\lambda }$ FOR $\lambda $ INACCESSIBLE
Abstract For $\lambda $ inaccessible, we show that “there is a nowhere trivial automorphism of $\mathcal P(\lambda )/[\lambda ]^{<\lambda }$ ” follows (in ZFC) from $2^\lambda =\lambda ^+$ , and is consistent (via forcing) with $2^\lambda>\lambda ^+$ .
Authors
- Jakob Kellner (ORCID: https://orcid.org/0000-0002-8815-7357)
- SAHARON SHELAH
Institutions
- Hebrew University of Jerusalem (IL)
Publication Details
- Journal
- Journal of Symbolic Logic
- Published
- 2026-02-23
- DOI
- https://doi.org/10.1017/jsl.2026.10193
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00