# How do I draw this weird space

I'm trying to solve this question:

My attempt of solution:

Note first I use the stereographic projection to see the sphere is homeomorphic to the plane with a point at infinity, after this we get this infinite block with height 1 with a segment of height 1 at infinity.

Am I right? I fell I'm wrong, this space seems very weird.

Thanks

• the "$\times I$" means that you can paramatrize it. So just parametrize it, eg. by saying that the inner sphere is $0$ and the outer sphere is $1$. – Daniel Valenzuela Sep 24 '14 at 18:23
• and by this I mean that $X \times I$ is a collection of $(X,t)$ with $t \in I$. – Daniel Valenzuela Sep 24 '14 at 18:23