Tame manifold

Not to be confused with Tame topology.

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