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