EDB — 0ZD

Exercises

1. [0ZD]Let $1\le d\le n$ be integers. Let $[0,1{]}^d$ be a cube of dimension $d$, we see it as a subset of ${ℝ}^n$ by defining

   $$K=[0,1{]}^d\times \{(0,0\dots 0)\}$$

   namely

   $$K=\{x\in {ℝ}^n,0\le x_1\le 1,\dots 0\le x_d\le 1,x_{d+1}=\dots =x_n=0\}$$

   Show that the dimension of $K$ is $d$.

   Solution 1

   [0ZF]↺↻