grandes-ecoles 2023 QII.3

grandes-ecoles · France · x-ens-maths-c__mp Proof Deduction or Consequence from Prior Results
Let $K$ be a compact set of $\mathbb{R}$ and $A$ a subset of $C(K, \mathbb{R}^d)$. By reasoning by contradiction, show that if $A$ is relatively compact then $A$ is equicontinuous.
Let $K$ be a compact set of $\mathbb{R}$ and $A$ a subset of $C(K, \mathbb{R}^d)$. By reasoning by contradiction, show that if $A$ is relatively compact then $A$ is equicontinuous.