T. Gowers

activity

20182025

most citedImproved bounds for the Erdős-Rogers function

5 citations · 14 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.FA2019

High-dimensional tennis balls

W. T. Gowers, K. Wyczesany

We show that there exist constants $α, ε > 0$ such that for every positive integer $n$ there is a continuous odd function $f : S^{m} \to S^{n}$ , with $m \geq α n$ , such that the $ε$ -expansion…

math.CO2019★ 1 cited

Partial associativity and rough approximate groups

W. T. Gowers, Jason Long

Suppose that a binary operation $\circ$ on a finite set $X$ is injective in each variable separately and also associative. It is easy to prove that $(X, \circ)$ must be a group. In…