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Complex K-theory of an even-cell complex

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If $Y$ is a finite even-cell complex, the exterior product is an isomorphism
$$
K^0(Y)\otimes K^i(X)\xrightarrow{\ \cong\ }K^i(Y\times X).
$$
Cellular induction proves this because $K^0(Y)$ is free and $K^{-1}(Y)=0$.


Künneth theorem for complex K-theory with an even-cell factor

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 142 / 2 / Solution

Künneth theorem for complex K-theory with an even-cell factor

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Künneth theorem for complex K-theory with an even-cell factor

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