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Interior of Exterior of a looped domain

  1. Nov 21, 2011 #1
    The photo below is a picture of a problem in my complex analysis text book but a topology question occurred while I was reading it. (Just to avoid any confusion, I have not taken a topology class yet.) The problem is asking to compute the integral (at the top of the picture) around the closed loop. Now, my question. Is the section the arrow is pointing to inside or outside the closed loop? If so, how did you come to that conclusion (if its not something that takes a whole semester to explain that is)?

    Thank,
    Dan
     

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