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!