Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.research.independent

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Rodolfo Medina

Posts: 15
Registered: 8/21/06
Injective continuous map
Posted: Feb 7, 2009 10:51 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply




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

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2015. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.