Thread: Sphere...

Hi - please delete this thread. I have solved the question myself & without the post made by aiw.

Therefore this post will be of no use to anyone else - please could you delete it.

Thank you x

Originally Posted by TTB

How do I show that the join [http://en.wikipedia.org/wiki/Join_(topology) Intuitively it is formed by taking the disjoint union of the two spaces and attaching a line segment joining every point in A to every point in B] of the spheres S^n-1 and S^m-1 is the sphere S^(m+n)?

PS - I have an embedding from the join of a copact subset of S^n-1 & a compact snset of S^m-1 to the m+n-dim Euclidean plane, but not sure if that is needed for the above problem or if so how to use it.

Isn't join of the spheres and is the sphere ? By the definition of join, you have an embedding and , since can be embedded into and can be embedded into .

It's ok, I think I've sorted it out now.

Thanks anyway. x