# Tame imbedding

From Encyclopedia of Mathematics

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.

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#### References

[a1] | L.C. Glaser, "Geometrical combinatorial topology" , 1–2 , v. Nostrand (1972) |

**How to Cite This Entry:**

Tame imbedding.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Tame_imbedding&oldid=32343

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article