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Characterizing the
spectra of cardinalities of branches of Kurepa trees
Márk Poór and Saharon Shelah |
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Vol. 311 (2021), No. 2, 423–453
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Abstract |
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We give a complete characterization of the sets of cardinals that in a suitable forcing extension can be the Kurepa spectrum, that is, the set of cardinalities of branches of Kurepa trees. This answers a question of Poór. |
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Keywords
Kurepa tree, constructible universe, cardinal spectra
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Mathematical Subject Classification 2010
Primary: 03E35
Secondary: 03E05, 03E45
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Milestones
Received: 23 March 2020
Revised: 5 December 2020
Accepted: 9 December 2020
Published: 31 July 2021
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Authors |
| Márk Poór | |
| Institute of Mathematics Eötvös Loránd University, Budapest Budapest Hungary |
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| Saharon Shelah | |
| Einstein Institute of
Mathematics The Hebrew University of Jerusalem, Edmond J Safra Campus Jerusalem Israel |
Department of Mathematics Rutgers, The State University of New Jersey Piscataway, NJ United States |
