On automorphisms of $\mathcal P(\lambda)/[\lambda]^{<\lambda}$

Jakob Kellner; Anda Latif; Saharon Shelah

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arXiv · 2206.02228

On automorphisms of $\mathcal P(\lambda)/[\lambda]^{<\lambda}$

Jakob Kellner·Anda Latif·Saharon Shelah

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Abstract

We investigate the statement ``all automorphisms of $\mathcal P(\lambda)/[\lambda]^{<\lambda}$ are trivial''. We show that MA implies the statement for regular uncountable $\lambda<2^{\aleph_0}$; that the statement is false for measurable $\lambda$ if $2^\lambda=\lambda^+$; and that for ``densely trivial'' it can be forced (together with $2^\lambda=\lambda^{++}$) for inaccessible $\lambda$.

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BibTeX RIS

Jakob Kellner, Anda Latif, Saharon Shelah. 2022-06-05. On automorphisms of $\mathcal P(\lambda)/[\lambda]^{<\lambda}$. https://arxiv.org/abs/2206.02228

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