Could someone please tell me why is isomorphic to ?

Thank you so much.

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- November 21st 2009, 04:32 AMgeorgelS^n\{x} isomorphic to R^n
Could someone please tell me why is isomorphic to ?

Thank you so much. - November 21st 2009, 05:14 AMShanks
is isomorphic to , not .

- November 21st 2009, 05:18 AMgeorgel
- November 21st 2009, 08:32 AMJose27
Well, that depends on your notation. The one I have seen the most is in which case it is indeed true that

To prove it, try to generalize the proof of the stereographic projection used to build the Riemann sphere which can be found in any (good) book on basic complex analysis