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Results tagged with kt.k-theory-and-homology
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user 2625
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
6
votes
2
answers
2k
views
Understanding the product in topological K-theory
I apologize that this is perhaps not adequate for mathoverflow but I have struggled with this for days now and become desperate...
The reduced K-group $\tilde{K}(S^0)$ of the zero sphere is the ring …
- 2,782
11
votes
1
answer
2k
views
K-theory as a generalized cohomology theory
Which of the statements is wrong:
a generalized cohomology theory (on well behaved topological spaces) is determined by its values on a point
reduced complex $K$-theory $\tilde K$ and reduced real $ …
- 2,782
7
votes
2
answers
412
views
Relation between $KO$ and $K$
What can be said about the relation between the complex and the real K-theory of a CW complex? An $n$-dimensional complex vector bundle is an $2n$-dimensional real vector bundle but not vice versa. Yo …