Andy Zucker

collaborators

4 papers

math.LO2025

A survey on big Ramsey structures

Jan HubiÄka, Andy Zucker

In recent years, there has been much progress in the field of structural Ramsey theory, in particular in the study of big Ramsey degrees. In all known examples of infinite structur…

math.CO2025

Counting big Ramsey degrees of the homogeneous and universal $K_{4}$ -free graph

Jan HubiÄka, MatÄj KoneÄnÃ½, Å tÄpÃ¡n VodseÄÃ¡lek +1

Big Ramsey degrees of FraÃ¯ssÃ© limits of finitely constrained free amalgamation classes in finite binary languages have been recently fully characterised by Balko, ChodounskÃ½, Do…

math.CO2025

On Big Ramsey degrees of universal $I ¨ $ -edge-labeled hypergraphs

Jan HubiÄka, MatÄj KoneÄnÃ½, Stevo Todorcevic +1

We show that the big Ramsey degrees of every countable universal $u$ -uniform $I ¨ $ -edge-labeled hypergraph are infinite for every $u \geq 2$ . Together with a recent result of Braunfe…

math.LO2025

Oscillating subalgebras of the atomless countable Boolean algebra

Dana BartoÅ¡ovÃ¡, Dana Bartošová, David Chodounský +10

We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite.

A survey on big Ramsey structures

Counting big Ramsey degrees of the homogeneous and universal K4​-free graph

On Big Ramsey degrees of universal I¨-edge-labeled hypergraphs

Oscillating subalgebras of the atomless countable Boolean algebra

Counting big Ramsey degrees of the homogeneous and universal $K_{4}$ -free graph

On Big Ramsey degrees of universal $I ¨ $ -edge-labeled hypergraphs