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What is the definition of S^2?

Thread starter Nusc
Start date Sep 23, 2006
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1 reply · 2K views

Nusc

Thread starter
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?

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Hurkyl

Staff Emeritus

Science Advisor

Gold Member

Sep 23, 2006

#2

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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