12 citations · 36 across the 12 of their papers we have counts for
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math.LO2013★ 11 cited
On polymorphism-homogeneous relational structures and their clones
Christian Pech, Maja Pech
A relational structure is homomorphism-homogeneous if every homomorphism between finite substructures extends to an endomorphism of the structure. This notion was introduced recent…
math.LO2013★ 12 cited
Towards a Ryll-Nardzewski-type Theorem for weakly oligomorphic structures
Christian Pech, Maja Pech
A structure is called weakly oligomorphic if it realizes only finitely many n-ary positive existential types for every n. The goal of this paper is to show that the notions of homo…
math.CT2013★ 3 cited
Universal homomorphisms, universal structures, and the polymorphism clones of homogeneous structures
Christian Pech, Maja Pech
Using a categorial version of Fraïssé's theorem due to Droste and Göbel, we derive a criterion for a comma-category to have universal homogeneous objects. As a first application we…