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wu :: forums    general    complex analysis (Moderators: Icarus, ThudnBlunder, william wu, SMQ, Eigenray, Grimbal, towr)    Homeomorphic? « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Homeomorphic?  (Read 8215 times) TJMann Newbie     Posts: 18 Homeomorphic?   « on: Oct 13th, 2008, 11:27am » Quote Modify 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.   IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth => complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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