Question: (7) (Bonus problem, 5pt) Show that the circle {(z,y) : z+y* = 1} in the plane is not diffeomorphic to a straight line {(z,0) :

(7) (Bonus problem, 5pt) Show that the circle {(z,y) : z+y* = 1} in the plane is not diffeomorphic to a straight line {(z,0) : x R}
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