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Results tagged with kt.k-theory-and-homology
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user 4648
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
2
votes
Accepted
Defining the inverse of the Bott map
Your argument against your definition is not convincing. You say you are writing down an exact sequence for your first map, but in fact you write down one for your second map. The second map is not ne …
- 786
8
votes
Accepted
K-theory of non-compact spaces
2 and 3 are not equivalent, because of a phenomenon known as "phantom maps".You can have a map of a CW complex $X$ to $Y$ which is non-trivial in homotopy, but homotopy trivial when restricted to ever …
- 786
7
votes
How do you relate the number of independent vector fields on spheres and Bott Periodicity fo...
This is not really different from Charles's answer, but you might want to look at two papers by Beno Eckmann. They construct Hurwitz-Radon matrices, and point out that this is effectively saying that …
- 786