An Aronszajn tree is a specific type of tree in set theory, particularly in the context of the theory of ordinals and cardinals. It is named after the mathematician E. Aronszajn, who introduced this concept in relation to the study of certain properties in trees and their associated structures.
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A set-theoretic tree of height with countable levels and no cofinal branch. More generally, a -Aronszajn tree has height a regular uncountable , levels of size less than , and no cofinal branch.