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Advanced Operator Algebra ResearchAdvanced Banach Space TheoryAdvanced Mathematical Theories

NOWHERE TRIVIAL AUTOMORPHISMS OF $P(\lambda)/[\lambda]^{\lt \lambda}$ , FOR $\lambda$ INACCESSIBLE.

Jakob Kellner, Saharon Shelah

2026.2.23JOURNAL OF SYMBOLIC LOGIC

DOI: 10.1017/jsl.2026.10193

Abstract

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 $2^\lambda>\lambda ^+$ .

Citation format

KELLNER, Jakob; SHELAH, Saharon. NOWHERE TRIVIAL AUTOMORPHISMS OF $p(\lambda)/[\lambda]^{\lt \lambda}$, FOR $\lambda$ INACCESSIBLE. JOURNAL OF SYMBOLIC LOGIC, 2026: 1–11.