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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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A question on composites of pushforward and pullback

Let a finite group $G$ acts on an orientable manifold $X$ freely. Denote $\pi:X\rightarrow Y=X/G$ be the quotient map. This covering map defines two maps between cohomology groups $\pi^*=H^\ast(\pi):H …
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