Hello!

Can anybody help me with the following exercise?

Prove that the one-point compactification of is homeomorphic to the n-sphere

= {( , ... , ) : = 1}.

Hint: It suffices to show that \(0,0,...,0,1) is homeomorphic to .

From a different exercise I know that the circle in is homeomorphic with R. Can I use it somehow?

Thanks for your help!