Continuity of inverse mapping of a continuous function

Is there any name of a function who is continuous and its inverse function is also continuous?

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a continuous bijection with continuous inverse is called a homeomorphism –  yoyo Mar 30 '11 at 2:10

That's called a homeomorphism.

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Yes. Such a function is a homeomorphism. See Wikipedia http://en.wikipedia.org/wiki/Homeomorphism

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