grandes-ecoles 2022 Q6.2

grandes-ecoles · France · x-ens-maths-d__mp Proof Proof of Set Membership, Containment, or Structural Property

For all $s>1$, we denote by $P_k(s)$ the subset of $P_k$ formed by vectors $v$ such that $z_v\leq s$.
Show that $P_k(s)$ is finite.

For all $s>1$, we denote by $P_k(s)$ the subset of $P_k$ formed by vectors $v$ such that $z_v\leq s$.

Show that $P_k(s)$ is finite.