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Topic: Injective continuous map
Replies: 1   Last Post: Feb 8, 2009 5:35 AM

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Rodolfo Medina

Posts: 15
Registered: 8/21/06
Injective continuous map
Posted: Feb 7, 2009 10:51 AM
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Hi.

At:

http://en.wikipedia.org/wiki/Invariance_of_domain

I read that g : ]-1,1[ ? R^2 with g(t) = (t^2-1, t^3-t) 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




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