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

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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