EDB — 0ZD

Exercises

1. [0ZD]Let \(1≤ d≤ n\) be integers. Let \([0,1]^ d\) be a cube of dimension \(d\), we see it as a subset of \(ℝ^ n\) by defining

   \[ K = [0,1]^ d × \{ (0,0\ldots 0)\} \]

   namely

   \[ K = \{ x∈ℝ^ n, 0≤ x_ 1≤ 1, \ldots 0≤ x_ d≤ 1, x_{d+1} = \ldots = x_ n = 0\} \]

   Show that the dimension of \(K\) is \(d\).

   Solution 1

   [0ZF]↺↻