What is the definition of S^2?

1. Sep 23, 2006

Nusc

I'm asked to show that S^2 has an atlas with two charts.

What is the definition of S^2?

2. Sep 23, 2006

Hurkyl

Staff Emeritus
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.