Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook