Record link: 
http://hdl.handle.net/20.500.12708/205155
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Title: 
On Automorphisms of P(λ)/[λ]<λ
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Citation: 
Kellner, J., Shelah, S., & Latif, A.-R. (2024). On Automorphisms of P(λ)/[λ]<λ. Journal of Symbolic Logic, 1–37. https://doi.org/10.1017/jsl.2024.37
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Publisher DOI: 
10.1017/jsl.2024.37
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Kellner, Jakob 
Shelah, Saharon 
Latif, Anda-Ramona 
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Organisational Unit: 
E104-08 - Forschungsbereich Mengenlehre 
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Journal: 
Journal of Symbolic Logic 
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ISSN: 
0022-4812
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Date (published): 
2024
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Number of Pages: 
37
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Publisher: 
CAMBRIDGE UNIV PRESS
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Peer reviewed: 
Yes
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Keywords: 
Forcing
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Abstract: 
We investigate the statement "all automorphisms of P(λ)=[λ]<λ are trivial". We show that MA implies the statement for regular uncountable < 2 0 ; that the statement is false for measurable λ if 2λ = λ+; and that for "densely trivial"it can be forced (together with 2λ = λ++) for inaccessible λ.
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Project title: 
Forcing für Mengen- und Modelltheorie: P 33420-N (FWF - Österr. Wissenschaftsfonds) 
Boolesche Ultrapotenzen und andere neue Forcing-Techniken: P33895 (FWF - Österr. Wissenschaftsfonds) 
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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