Piercing points on a special arc

Harvey Rosen · Proceedings of the American Mathematical Society · 1974

We describe a cellular wild arc A A in S 3 {S^3} that is the closure of the union of a null sequence of Alford arcs and show that if S S is an arbitrary 2 2 -sphere containing A A and tame modulo A A , then each point of A A is a piercing point of S S .

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