activity
20092026
most citedAll those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms)

53 citations · 216 across the 41 of their papers we have counts for

collaborators
Showing 2020Show all

3 papers · 1 filter

math.CO2020

Structural Ramsey Theory and the Extension Property for Partial Automorphisms

Jan Hubička

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

math.CO2020★ 9 cited

Big Ramsey degrees using parameter spaces

Jan Hubička

We show that the universal homogeneous partial order has finite big Ramsey degrees and discuss several corollaries. Our proof relies on parameter spaces and the Carlson-Simpson the…

math.CO2020

Big Ramsey degrees of 3-uniform hypergraphs are finite

Martin Balko, David Chodounský, Jan Hubička +2

We prove that the universal homogeneous 3-uniform hypergraph has finite big Ramsey degrees. This is the first case where big Ramsey degrees are known to be finite for structures in…