Type-respecting amalgamation and big Ramsey degrees

Author:

Aranda Andrés,Braunfeld Samuel,Chodounský David,Hubička Jan,Konečný Matěj,Nešetřil Jarsolav,Zucker Andy

Abstract

We give an infinitary extension of the Nešetřil-Rödl theorem for category of relational structures with special type-respecting embeddings.

Publisher

Masaryk University Press

Reference61 articles.

1. Martin Balko, David Chodounský, Natasha Dobrinen, Jan Hubička, Matěj Konečný, Lluis Vena, and Andy Zucker. Exact big Ramsey degrees via coding trees. ArXiv:2110.08409, 2021.

2. Martin Balko, David Chodounský, Natasha Dobrinen, Jan Hubička, Matěj Konečný, Lluis Vena, and Andy Zucker. Characterisation of the big Ramsey degrees of the generic partial order. ArXiv:2303.10088, 2023.

3. Martin Balko, David Chodounský, Natasha Dobrinen, Jan Hubička, Jaroslav Nešetřil, Matěj Konečný, and Andy Zucker. Ramsey theorem for trees with successor operation. In preparation, 2023.

4. Martin Balko, David Chodounský, Jan Hubička, Matěj Konečný, and Lluis Vena. Big Ramsey degrees of 3-uniform hypergraphs. Acta Mathematica Universitatis Comenianae, 88(3):415-422, 2019. Extended abstract for Eurocomb 2021.

5. Martin Balko, David Chodounský, Jan Hubička, Matěj Konečný, and Lluis Vena. Big Ramsey degrees of 3-uniform hypergraphs are finite. Combinatorica, 42(2):659-672, 2022.

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