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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 ℝn by defining

    K=[0,1]dΓ—{(0,0…0)}

    namely

    K={xβˆˆβ„n,0≀x1≀1,…0≀xd≀1,xd+1=…=xn=0}

    Show that the dimension of K is d.

    Solution 1

    [0ZF]

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