Difference between revisions of "Tame imbedding"
From Encyclopedia of Mathematics
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| − | An imbedding of a topological polyhedron (cf. [[Polyhedron, abstract|Polyhedron, abstract]]) | + | {{TEX|done}} |
| + | An imbedding of a topological polyhedron (cf. [[Polyhedron, abstract|Polyhedron, abstract]]) $P$ in the space $\mathbf R^n$ such that there exists a [[Homeomorphism|homeomorphism]] of $\mathbf R^n$ onto itself which maps $P$ into a rectangular [[Polyhedron|polyhedron]]. The polyhedron $P$ is called tame also. If $P$ is not tame, it is called wild, and the imbedding — a [[Wild imbedding|wild imbedding]]. | ||
Latest revision as of 11:49, 29 June 2014
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.
Comments
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
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