Apr 13, 2020 · We prove that if an \omega-categorical structure has an \omega-categorical homogeneous Ramsey expansion, then so does its model-complete core.

Feb 1, 2021 · We prove that if an -categorical structure has an -categorical homogeneous Ramsey expansion, then so does its model-complete core.

Abstract. We prove that if an $\omega$-categorical structure has an $\omega$-categorical homogeneous Ramsey expansion, then so does its model-complete core.

Abstract. We prove that if an ω-categorical structure has an ω-categorical homogeneous. Ramsey expansion, then so does its model-complete core.

We prove that if an $\omega $ -categorical structure has an $\omega $ -categorical homogeneous Ramsey expansion, then so does its model-complete core.

A path-matching of order p is a vertex disjoint union of nontrivial paths spanning p vertices. Burr and Roberts, and Faudree and Schelp determined the ...

Ramsey class, but crucial in understanding functions on ordered Ramsey structures. ... Cores of countably categorical structures. Logical Methods in ...

For model-complete cores Γ over Ramsey structures: There exists an expansion ... For model-complete cores Γ over Ramsey structures: There exists an ...

Sep 12, 2023 · We discuss the externally definable Ramsey property, a weakening of the Ramsey property for ultrahomogeneous structures.