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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.

8 votes

Unexpected applications of Dvoretzky's theorem

Let $X$ be a Banach space and $I: X \to X$ be the identity operator. From Dvoretzky's theorem, for any $\varepsilon > 0$ and positive integer $n$, there is a subspace $X_n \subset X$ such that $d(X_n, …
Dmitry Maximov's user avatar