grandes-ecoles 2023 QII.1

grandes-ecoles · France · x-ens-maths-c__mp Proof Proof That a Map Has a Specific Property

Let $K$ be a compact set of $\mathbb{R}$. Let $k > 0$ and $B$ the set of functions from $K$ to $\mathbb{R}^d$ that are $k$-Lipschitz. Show that $B$ is equicontinuous.

Let $K$ be a compact set of $\mathbb{R}$. Let $k > 0$ and $B$ the set of functions from $K$ to $\mathbb{R}^d$ that are $k$-Lipschitz. Show that $B$ is equicontinuous.

Paper Questions

QI.1 QI.2 QI.3 QII.1 QII.2 QII.3 QII.4 QII.5 QII.6 QII.7 QIII.1 QIII.2 QIII.3 QIII.4 QIII.5 QIII.6 QIII.7 QIV.1 QIV.2 QIV.3