Re: Standard Topology on S^n ?

On Wed, 27 Feb 2008, Terry/Padden wrote:

<marsh@xxxxxxxxxxxxxxxxxx> wrote:

It's the easiest way.

That is a lazy - and cowardly - reason.

Hurray! As the context has been removed, the problem has disappeared. ;-)

Alternatively you could define
S^n as the one point compactification of R^n. That is,
add to R^n a point 'at infinity'.

The horror is materialising.

Lo and behold! The horror has materialized and it is you.

Why should everyday ordinary spheres have
anything to do with infinity ?

A plane is a sphere with infinite radius.

Why should everyday ordinary persons have any
thing to do with an infinitely sassy Aussi?
.

References:
- Standard Topology on S^n ?
  - From: Terry/Padden
- Re: Standard Topology on S^n ?
  - From: William Elliot
- Re: Standard Topology on S^n ?
  - From: Terry/Padden
- Re: Standard Topology on S^n ?
  - From: William Elliot
- Re: Standard Topology on S^n ?
  - From: Terry/Padden

Relevant Pages

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