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3
votes
Accepted
Natural extension homomorphism and wrong-way maps in K-theory
The natural extension homomorphism is defined in footnote 4 on page 7 of the expository paper by Gregory Landweber you are looking at.
In that reference, K-theory with compact supports is defined for …
18
votes
Accepted
Splitting of tangent bundle
To expand on my comment above, suppose that $TS^{2k}\cong\xi\oplus\eta$ for some non-trivial vector bundles $\xi$ and $\eta$ over $S^{2k}$ of dimensions $m$ and $\ell$, respectively. Hence $0<m,\ell<2 …