K. Wyczesany

most citedA counterexample to a strengthening of a question of Milman

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.FA2021★ 1 cited

A counterexample to a strengthening of a question of Milman

W. T. Gowers, K. Wyczesany

Let $∣ \cdot ∣$ be the standard Euclidean norm on $R^{n}$ and let $X = (R^{n}, ∥ \cdot ∥)$ be a normed space. A subspace $Y \subset X$ is \emph{strongly $α$ -Euclidean} if t…

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…