Kurepa tree

A Kurepa tree is a type of mathematical structure that arises in set theory and combinatorial set theory, named after the mathematician E. Kurepa. It is a special kind of tree that is used to study the properties of certain kinds of sets and their cardinalities. Specifically, a Kurepa tree is an infinite tree that satisfies two primary conditions: 1. **Uncountably many branches**: Every branch (i.e.