In geometry, a tame manifold is a manifold with a well-behaved compactification. More precisely, a manifold ${\displaystyle M}$ is called tame if it is homeomorphic to a compact manifold with a closed subset of the boundary removed.

The Whitehead manifold is an example of a contractible manifold that is not tame.

See also

• Closed manifold  – Topological concept in mathematics
• Tameness theorem

References

• Gabai, David (2009), "Hyperbolic geometry and 3-manifold topology", in Mrowka, Tomasz S.; Ozsváth, Peter S. (eds.), Low dimensional topology, IAS/Park City Math. Ser., vol. 15, Providence, R.I.: Amer. Math. Soc., pp. 73–103, ISBN   978-0-8218-4766-4, MR   2503493
• Marden, Albert (2007), Outer circles , Cambridge University Press, doi:10.1017/CBO9780511618918, ISBN   978-0-521-83974-7, MR   2355387
• Tucker, Thomas W. (1974), "Non-compact 3-manifolds and the missing-boundary problem", Topology , 13 (3): 267–273, doi:10.1016/0040-9383(74)90019-6, ISSN   0040-9383, MR   0353317

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