We are interested in the possible set of cardinalities of Kurepa trees in models of $ZFC$ $+$ $CH$. In this paper we present a large class in which for each set $S$ we prove that it is consistent with $ZFC$ + $CH$ that $S$ is the set of cardinalities of Kurepa trees.
The characterization of the spectra of cardinalities of branches of Kurepa trees
Brouwer and Cardinalities
Club isomorphisms of Kurepa trees and large cardinals
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