research
∙
03/25/2023
Big Ramsey degrees in the metric setting
Oscillation stability is an important concept in Banach space theory whi...
share
research
∙
03/22/2023
Type-respecting amalgamation and big Ramsey degrees
We give an infinitary extension of the Nešetřil-Rödl theorem for categor...
research
∙
03/17/2023
Characterisation of the big Ramsey degrees of the generic partial order
As a result of 33 intercontinental Zoom calls, we characterise big Ramse...
research
∙
01/30/2023
Big Ramsey degrees and infinite languages
This paper investigates big Ramsey degrees of unrestricted relational st...
research
∙
05/25/2021
Big Ramsey degrees and forbidden cycles
Using the Carlson-Simpson theorem, we give a new general condition for a...
research
∙
05/21/2021
Big Ramsey degrees of the generic partial order
As a result of 33 intercontinental Zoom calls, we characterise big Ramse...
research
∙
08/01/2020
Big Ramsey degrees of 3-uniform hypergraphs are finite
We prove that the universal homogeneous 3-uniform hypergraph has finite ...
research
∙
06/10/2019
Big Ramsey degrees of 3-uniform hypergraphs
Given a countably infinite hypergraph R and a finite hypergraph A, the...
research
∙
03/18/2019
Extending partial automorphisms of n-partite tournaments
We prove that for every n≥ 2 the class of all finite n-partite tournamen...
research
∙
02/11/2019
All those EPPA classes (Strengthenings of the Herwig-Lascar theorem)
In this paper we prove a general theorem showing the extension property ...
research
∙
01/14/2019
Extending partial isometries of antipodal graphs
We prove EPPA (extension property for partial automorphisms) for all ant...
research
∙
12/28/2018
EPPA for two-graphs and antipodal metric spaces
We prove that the class of two-graphs has the extension property for par...
research
∙
08/15/2018
Forbidden cycles in metrically homogeneous graphs
Aranda, Bradley-Williams, Hubička, Karamanlis, Kompatscher, Konečný and ...
research
∙
07/28/2018
A combinatorial proof of the extension property for partial isometries
We present a short and self-contained proof of the extension property fo...
research
∙
05/16/2018
Combinatorial Properties of Metrically Homogeneous Graphs
Ramsey theory looks for regularities in large objects. Model theory stud...
research
∙
12/01/2017
On the Simultaneous Minimum Spanning Trees Problem
Simultaneous Embedding with Fixed Edges (SEFE) is a problem where given ...
research
∙
10/12/2017