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Homework Help: Smooth transition map (easy?)

  1. Sep 17, 2009 #1
    Smooth transition map (easy!?)

    1. The problem statement, all variables and given/known data
    Check the transition map
    http://img132.imageshack.us/img132/4341/18142532.png [Broken]
    is smooth in the set for which their images intersect

    3. The attempt at a solution
    I have thought of two ways to show this.

    (1) Show that Φ is a composition of two smooth functions and is therefore smooth.
    (2) compute the composite function and then prove that is smooth

    Which way do you suggest?
    I have attempted method (1) to some extent, but wondering if method (2) is easier.
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 17, 2009 #2
    Re: Smooth transition map (easy!?)

    bump please
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