How can I proove without using Yoneda's lemma that $$ \Omega^2(BU \times \mathbb{Z}) \cong BU \times \mathbb{Z} ?$$ In particular how can I define a cellular map $$ f: \Omega^2(BU \times \mathbb{Z}) \rightarrow BU \times \mathbb{Z} $$ sucht that $f$ is an isomorphism?
2026-03-25 23:35:58.1774481758
Loop space and $K$-theory
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