In the Adams Bluebook, to define a smash product of CW-spectra, the author uses a homotopy equivalence between two smash product of compactly generated pointed spaces from $S^{1} \wedge Y$ to $Y \wedge S^{1}$ by $(t,x) \mapsto (x,-t)$. Why this sign change happen? If you think it is a basic question, so could you give me a reference?
2026-03-25 04:43:38.1774413818
A homotopy equivalence of $X \wedge Y \to Y \wedge X$ to itself.
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