0
$\begingroup$

anyone can help me with this problem, how can I prove that there is an homeomorphism between the closure of the (sphere minus one point) and the sphere itself any ideas?

thank you very much

  • 0
    @Mercy: Exactly. Which makes it pretty easy to find the homeomorphism: you just have to show that the closure adds only one point, and that that point ‘looks’ like the one that you removed.2012-09-27

1 Answers 1

1

HINT: Show that $\operatorname{cl}_{\Bbb R^3}(S^2\setminus\{p\})=S^2$.

  • 0
    thank you all, I will think about it.2012-09-28