uppersemilattice

This is achieved by using Kumabe-Slaman forcing - along with other known results - to show that given finite uppersemilattices ℳ and 𝒩, where ℳ is a subuppersemilattice of 𝒩, then for both degree structures, every embedding of ℳ into the structure extends to one of 𝒩 iff 𝒩 is an end-extension of ℳ.