Kurepa trees and ramified ordered sets
Árboles de Kurepa y conjuntos ordenados ramificados
- Date
- 1935 · confidence high
- Place
- Paris, France
- Credited to
- Đuro Kurepa
- Field
- Knowledge & symbols
What was discovered
In his thesis he studied partially ordered sets with a tree structure and posed the hypothesis on trees now called Kurepa trees. It links Suslin's hypothesis with set theory and the branches of the continuum.
He defended the thesis at the Sorbonne in 1935 under Fréchet. The Kurepa hypothesis is independent of ZFC (consistent with it, and its negation is consistent relative to an inaccessible). Kurepa was born in Majske Poljane (Croatia).
What it led to
- tree theory in modern set theory
- the Kurepa hypothesis and large cardinals