Tame arcs on wild cells

C. L. Seebeck · Proceedings of the American Mathematical Society · 1971

We prove here that, for $n \geqq 5$, every cell in ${E^n}$ contains a tame arc and that, for product cells ${B^{m - k}} \times {I^k} \subset {E^{n - k}} \times {E^k} = {E^n}$ , every k-dimensional polyhedron $P \subset {B^{m - k}} \times {I^k}$ is tame in ${E^n}$.

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