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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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