Structural Ramsey Theory and the Extension Property for Partial Automorphisms

Abstract

We survey recent developments concerning two properties of classes of finite structures: the Ramsey property and the extension property for partial automorphisms (EPPA).

31 pages, 5 figures; written as introduction chapter for habilitation thesis

References in corpus (4)

• Extremely amenable groups via continuous logic
• Recent developments in finite Ramsey theory: foundational aspects and connections with dynamics
• Big Ramsey degrees of 3-uniform hypergraphs
• Universal graphs with a forbidden subgraph: Block path solidity