3 papers
math.LO2026
Hadwiger's conjecture for hypergraphs
Dominic van der Zypen
In 1943, Hadwiger formulated his celebrated conjecture, connecting the chromatic number of a finite, simple, undirected graph with the cardinality of the largest complete mi…
math.CO2026
The matroid intersection conjecture
Dominic van der Zypen
We prove the matroid intersection conjecture, due to Nash-Williams \cite{ahaziv}, for infinite matroids: If are matroids for , both havin…
math.GN2025
Dominic van der Zypen
We show that the selection principles and are not equal constructing a topological space that satisfies , but not ${Ω\choos…