Standard Topology on S^n ?
- From: Terry/Padden <tpadden@xxxxxxxxxxxxxx>
- Date: Tue, 26 Feb 2008 06:47:50 GMT
The product topology on R^n where each copy of R has the standard topology
is usually called the Euclidean topology.
Yet the product topology of 2 (or more) circles is the Torus topology not
S^n.
So what is the standard terminology for the topology of S^n - where S^n is
the n dimensional topological sphere = hollow surface (not solid ball) ? ?
I can't seem to find it in the books I have; but as a non mathematician I am
not good at looking these things up. Maybe it does not have one - the
horror, the horror!
I realise that any hollow Sphere can be considered to be a kind of Torus,
but I don't think that helps. Of course it may be the key to the whole
business, which will be very annoying. Maybe I need to think more carefully
about what is "the standard topology" of the circle.
Readily available references may rescue me so would be most welcome.
.
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