$Complex Variables$

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$Complex Variables$

Exercise 4.33 from Spivak's Calculus on Manifolds. (Attached).

For the definitions and theorems: http://www.strangebeautiful.com/other-texts/spivak-calc-manifolds.pdf
The exercise is on page 118-119. You can assume every result and exercise above it without proving it.

I'd appreciate details, like indicating when you use a theorem and the like.

Complex Analysis Manifolds Calculus

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As a remark the exercise 4-33 is found on pages 105 and 106, not 118 and 119.

I assume basic familiarty with continuous functions, in particular will use without comment such facts as the sum of two convergent limits being convergent to the sum of the limits or that the image of a compact set under continuous function is again compact (this is applied for example to see that the image of a 2-chain valued in R^n is a bounded set).

I have written the solutions in a pdf document, see the attached file. If you have any questions feel free to write them as comments.

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