#### Vol. 311, No. 2, 2021

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Characterizing the spectra of cardinalities of branches of Kurepa trees

### Márk Poór and Saharon Shelah

Vol. 311 (2021), No. 2, 423–453
##### Abstract

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.

##### Keywords
Kurepa tree, constructible universe, cardinal spectra
##### Mathematical Subject Classification 2010
Primary: 03E35
Secondary: 03E05, 03E45