Record link: 
http://hdl.handle.net/20.500.12708/190395
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Title: 
ASYMMETRIC CUT AND CHOOSE GAMES
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Citation: 
Henney-Turner, C., Holy, P., Schlicht, P., & Welch, P. (2023). ASYMMETRIC CUT AND CHOOSE GAMES. Bulletin of Symbolic Logic. https://doi.org/10.1017/bsl.2023.31
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Publisher DOI: 
10.1017/bsl.2023.31
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Henney-Turner, Christopher 
Holy, Peter 
Schlicht, Philipp 
Welch, Philip 
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Organisational Unit: 
E104-01 - Forschungsbereich Algebra 
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Journal: 
Bulletin of Symbolic Logic 
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ISSN: 
1079-8986
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Date (published): 
2023
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Number of Pages: 
31
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Publisher: 
CAMBRIDGE UNIV PRESS
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Peer reviewed: 
Yes
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Keywords: 
Banach-Mazur games; Cut and choose games; distributivity; generically measurable cardinals; precipitous ide
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Abstract: 
We investigate a variety of cut and choose games, their relationship with (generic) large cardinals, and show that they can be used to characterize a number of properties of ideals and of partial orders: certain notions of distributivity, strategic closure, and precipitousness.
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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