On automorphisms of $\mathcal P(λ)/[λ]^{<λ}$
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916242163499008 |
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| author | Kellner, Jakob Latif, Anda Shelah, Saharon |
| author_facet | Kellner, Jakob Latif, Anda Shelah, Saharon |
| contents | We investigate the statement ``all automorphisms of $\mathcal P(λ)/[λ]^{<λ}$ are trivial''. We show that MA implies the statement for regular uncountable $λ<2^{\aleph_0}$; that the statement is false for measurable $λ$ if $2^λ=λ^+$; and that for ``densely trivial'' it can be forced (together with $2^λ=λ^{++}$) for inaccessible $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_02228 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On automorphisms of $\mathcal P(λ)/[λ]^{<λ}$ Kellner, Jakob Latif, Anda Shelah, Saharon Logic We investigate the statement ``all automorphisms of $\mathcal P(λ)/[λ]^{<λ}$ are trivial''. We show that MA implies the statement for regular uncountable $λ<2^{\aleph_0}$; that the statement is false for measurable $λ$ if $2^λ=λ^+$; and that for ``densely trivial'' it can be forced (together with $2^λ=λ^{++}$) for inaccessible $λ$. |
| title | On automorphisms of $\mathcal P(λ)/[λ]^{<λ}$ |
| topic | Logic |
| url | https://arxiv.org/abs/2206.02228 |