The Stacks project

Lemma 82.26.7. In Situation 82.2.1 let $f : X \to Y$ and $g : Y \to Z$ be morphisms of good algebraic spaces over $B$. Let $c \in A^ p(X \to Z)$ and assume $f$ is proper. Then the rule that to $X' \to X$ assigns $\alpha \longmapsto f_*(c \cap \alpha )$ is a bivariant class of degree $p$.

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