From: [Permission pending]
Subject: K theory
To: rusin@math.niu.edu
Date: Tue, 8 Apr 1997 20:18:32 +0300 (IDT)

[deletia -- djr]

Your web including answers to questions in topology was very interesting
and I wondered whether I could ask you my own question.
I am trying to find some text with examples how to compute the K theory groups of some basic spaces such as S1, S2, the torus and so on.
I am not talking about heavy theorems, but about simple computations which are missing in the classical books on this subject (Atiah, Karuby)
Can you give me a reference to some text on this material?

[deletia -- djr]

==============================================================================

Date: Tue, 8 Apr 97 13:35:13 CDT
From: rusin (Dave Rusin)
To: [Permission pending]
Subject: Re:  K theory

I would have suggested the books e.g by Atiyah and Karoubi; these should
contain the computations for spheres, which are fairly straightforward
given the definitions (I assume you mean the standard model for
topological K-theory involving vector bundles). Look up "clutching functions"
and the Bott periodicity theorem in the index. The conclusion is (as
I recall) K(S^n)=Z+Z or Z according as  n  is  even or odd. Another
source might be Husemoller's book on Fibre Bundles.
dave