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Homework Help: What is the definition of S^2?

  1. Sep 23, 2006 #1
    I'm asked to show that S^2 has an atlas with two charts.


    What is the definition of S^2?
     
  2. jcsd
  3. Sep 23, 2006 #2

    Hurkyl

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    It's the two-dimensional sphere -- anything isomorphic to the set of all points (x, y, z) in R³ such that x²+y²+z²=1.
     
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