- Source: Tame manifold
In geometry, a tame manifold is a manifold with a well-behaved compactification. More precisely, a manifold
M
{\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
Kata Kunci Pencarian:
- Batas (topologi)
- Tame manifold
- Closed manifold
- Whitehead manifold
- Tameness theorem
- 3-manifold
- Wild knot
- Knot complement
- Knot (mathematics)
- Ramification (mathematics)
- Hyperbolic 3-manifold
