Let X = ℝ × ℝ × ℝ = ℝ3 and define the metric d: ℝ3 × ℝ3 →ℝ by
d((x1, y1, z1), (x2, y2, z2)) = max{|x1 –x2|, |y1 − y2|, |z1 − z2|}.
Describe the neighborhood N(0; 1), where 0 is the origin in ℝ3.
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