Let $(A,A_0)$ be a $CW$-pair such that $A_0$ is a $CW$-subcomplex of $A$.
Let $\Sigma$ be the suspension.
Is $\Sigma(A/A_0)$ homotopy equivalent to $\Sigma A/\Sigma A_0$ or not?
2026-04-03 01:54:04.1775181244
commutivity of suspension and quotient space
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