Domain Invariance Theorem

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

See also

Dimension Invariance Theorem

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References

Rusin, D. "RE: Homeomorphisms of the Sphere." In The Mathematical Atlas. http://www.math.niu.edu/~rusin/known-math/99/invar_domain2.

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Domain Invariance Theorem

Cite this as:

Weisstein, Eric W. "Domain Invariance Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DomainInvarianceTheorem.html

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