Extension Property for Partial Automorphisms of the N-Partite and Semigeneric Tournaments

We present a proof of the extension property for partial automorphisms (EPPA) for classes of finite n-partite tournaments for n ∈{2,3,…,ω}, and for the class of finite semigeneric tournaments. We also prove that the generic ω-partite tournament and the generic semigeneric tournament have ample generics.