Classification of the finite polymorphism-homogeneous tournaments with loops

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Classification of the finite polymorphism-homogeneous tournaments with loops

Vortrag von 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.