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Injective continuous map
Posted:
Feb 7, 2009 10:51 AM


Hi.
At:
http://en.wikipedia.org/wiki/Invariance_of_domain
I read that g : ]1,1[ ? R^2 with g(t) = (t^21, t^3t) is injective and continuous but does not yield a homeomorphism onto its image, i.e. its inverse is not continuous.
I can't imagine how that is possible. Can anyone please show that to me?
Thanks for any help Rodolfo



