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**is not**the image of any immersion of R into R^2 ???

problem 25 chapter 2 differential geometry M. Spivak

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- Thread starter bigli
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problem 25 chapter 2 differential geometry M. Spivak

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http://trainbit.com/files/0810149884/Emb_Submanifold.jpg

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HallsofIvy

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Please!!!!!!!!!!!!!!!!! think about and answer to main problem in my first post and attend to my notes in my second post.

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Please!!!!!!!!!!!!!!!!! think about and answer to main problem in my first post and attend to my notes in my second post.

HallsofIvy has told you exactly how to go about this. If there existed an immersion whose image was the set [itex]\{(x,|x|)\}[/itex], then this set would have a

I know you said in your "attempt" at a proof that you didn't want to look at the point x=0, but my friend, this will be necessary, since this point is the reason no such immersion exists.

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