Re: suspention of sphere

From: Daisuke Toriumi <toriud@xxxxxxx>
Date: Tue, 28 Feb 2006 20:04:01 EST

Daisuke Toriumi wrote:

Explicitly show that suspension of S^n is

homeomorphic to S^(n+1).

Which version of suspension are you using?

Using the union of two cones with the copies of the
original space
identified via the identity mapping, this is as close
to a triviality
as I can imagine.

Dale.

Thanks Dale, the union of two cones is the suspension that I am using. I can see S^1 case but I cannot explicitly show the homeomorphism. I have no idea.
I would be apperciated if you could kindly show it.
.

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