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9
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Accepted
Does there exist a space X whose suspension is homotopy equivalent to [0,1] rel ends but whe...
$\newcommand{\set}[1]{\lbrace #1 \rbrace}$I will assume that the notation $\Sigma X$ in the question denotes the unreduced suspension of the space $X$.
Quick answer: The notion of homotopy equivalenc …
4
votes
Homotopy Equivalences and Induced Correspondences between Fibre Bundles
Here is a quick argument which proves homotopy equivalence directly. First, the pullback of a homotopy equivalence along a Hurewicz fibration is again a homotopy equivalence. Further, by the well-know …