Extension property for partial automorphisms of the $n$-partite and semigeneric tournaments

Jan Hubička, Colin Jahel, Matěj Konečný, Marcin Sabok

Published 2024-01-22Version 1

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