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        general >> complex analysis >> Homeomorphic?
        
(Message started by: TJMann on Oct 13^th, 2008, 11:27am)

Title: Homeomorphic?
Post by TJMann on Oct 13^th, 2008, 11:27am

Let G = C - {0} and F be the complete analytic function obtained from the principal branch of the logarithm. Further, let (R,p) be Riemann surface of F so that G is the base of R. Prove/disprove that R is homeomorphic to the graph L = {(z,e^z):z E G} considered as a subset of C x C.