Uniform homogeneity

2020/04/28 by Kubiś, Wiesław, Kuzeljević, Boriša
#03C13 #03C50 #20B25 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2004.13643

Abstract

We discuss some finite homogeneous structures, addressing the question of universality of their automorphism groups. We also study the existence of so-called Katětov functors in finite categories of embeddings or homomorphisms.

Related

• Universal homomorphisms, universal structures, and the polymorphism clones of homogeneous structures
• Katetov functors
• Universal homogeneous constraint structures and the hom-equivalence\n classes of weakly oligomorphic structures
• Uncountable homogeneous structures
• Combinatorial Properties of Finite Models