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For questions about sheaves on a topological space.

2 votes
1 answer
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Higher direct image with compact support of a constant sheaf

Let $f: X \to Y$ be a locally trivial fibration between locally compact spaces with fiber $F$. It is well known that for a constant sheaf $A_X$ on $X$, the higher direct images $R^n f_* A_X$ are local …
Eduardo de Lorenzo's user avatar
1 vote
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Higher direct image with compact support of a constant sheaf

With the information added in the last update, the result is already proved once you realize that the unit of the adjunction $$ id \to a_{B,*} a_B^* $$ is actually an isomorphism on the category of ab …
Eduardo de Lorenzo's user avatar