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Let $f\colon E\to B$ be a fiber bundle of compact manifolds with fiber $F$. Assume that the push-forward $Rf_*(\underline{\mathbb{F}})$ in the derived category of the constant sheaf with coefficients ...

On Bott's paper "Homogeneous vector bundles" there is the following statement of Leray spectral sequence: Let $X$ and $Y$ be paracompact and locally compact spaces and $f : Y \to X$ be a proper map....