Tame imbedding

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An imbedding of a topological polyhedron (cf. Polyhedron, abstract) $P$ in the space $\mathbf R^n$ such that there exists a homeomorphism of $\mathbf R^n$ onto itself which maps $P$ into a rectangular polyhedron. The polyhedron $P$ is called tame also. If $P$ is not tame, it is called wild, and the imbedding — a wild imbedding.



[a1] L.C. Glaser, "Geometrical combinatorial topology" , 1–2 , v. Nostrand (1972)
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Tame imbedding. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article