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Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Are evaluation maps for sections of a fiber bundle weak homotopy equivalences?
Given a fiber bundle $p:E\to B$ and a point $x\in B$, is the evaluation map $\varepsilon:\Gamma^0(E)\to p^{-1}(x)$ defined by $\varepsilon(\sigma):=\sigma(x)$ a weak homotopy equivalence when $\Gamma^ …