Domain Invariance Theorem

The invariance of domain theorem states that if f:M->N is a one-to-one and continuous map between n-manifolds without boundary, then f is an open map.

See also

Dimension Invariance Theorem

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Rusin, D. "RE: Homeomorphisms of the Sphere." In The Mathematical Atlas.

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Domain Invariance Theorem

Cite this as:

Weisstein, Eric W. "Domain Invariance Theorem." From MathWorld--A Wolfram Web Resource.

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