Ushashi Bhattacharya

Resolving Erdős–Ulam Monochromatic Union-Closed Family Conjectures

We prove both Erdős–Ulam conjectures on monochromatic union-closed families, which are the two specific questions of Erdős Problem 1183. Every two-colouring of the subsets of a finite set contains a monochromatic union-closed family whose size grows faster than any fixed power of...