Classification of the finite polymorphism-homogeneous tournaments with loops

From International Center for Computational Logic

Classification of the finite polymorphism-homogeneous tournaments with loops

Talk by Thomas Feller
The classical notion of "homogeneity" plays a part in model theory. In this talk we look at a variant of this property, the so called "polymorphism-homogeneity", first explicitly examined by Christian and Maja Pech, by classifying the finite tournaments (loops allowed), which are polymorphism-homogeneous. For this we utilize the classification of the finite homomorphism-homogeneous tournaments with loops, done by A. Ilić, D. Mašulović and U. Rajković.