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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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Euler characteristic of a subset of cartesian product induced by a group action

let $X$ be a CW-complex on which a finite group $G$ acts. define $$F=\{ (x,gx)\;|\; x\in X ,g \in G \}$$ i want to compute the Euler characteristic of $F$. I wrote $$F=\cup_{g\in G}{F_g}\;\;,\;\; F_ …
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