Is there any name of a function who is continuous and its inverse function is also continuous?
Continuity of inverse mapping of a continuous function
-1
$\begingroup$
real-analysis
-
1a continuous bijection with continuous inverse is called a homeomorphism – 2011-03-30
3 Answers
-1
It is called a bicontinuous function.
Just look at the first sentence in the wikipedia entry for continuous function.
-
0@Thales I'm sorry but I don't understand your comment. – 2011-03-30
2
Yes. Such a function is a homeomorphism. See Wikipedia http://en.wikipedia.org/wiki/Homeomorphism
0
That's called a homeomorphism.