Menger's universal curve. Its Anderson's characterization.

The Menger Universal Curve X is obtained using the Sierpiski Universal Plane Curve S from the unit cube I³ by the formula

$$X = \{(x,y,z) \in I^3 : (x,y) \in S \quad \& \quad(x,z)\in S \quad \& \quad(y,z)\in S\} \quad .$$

Figure ( A ) Menger's universal curve. Its Anderson's characterization.


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