3 papers
math.GN2025
Continuous colorings on compact spaces
Noé de Rancourt, Dominique Lecomte, Miroslav Zelen
We study several natural classes of graphs on a zero-dimensional metrizable compact space having no continuous coloring. We compare these graphs with the quasi-order associated wit…
math.CO2024
Metric Spaces in Which Many Triangles Are Degenerate
Vašek Chvátal, Noé de Rancourt, Guillermo Gamboa Quintero +2
Richmond and Richmond (American Mathematical Monthly 104 (1997), 713--719) proved the following theorem: If, in a metric space with at least five points, all triangles are degenera…
math.FA2023
Big Ramsey degrees in the metric setting
Tristan Bice, Noé de Rancourt, Jan Hubička +1
Oscillation stability is an important concept in Banach space theory which happens to be closely connected to discrete Ramsey theory. For example, Gowers proved oscillation stabili…