Algebraic Geometry
《Algebraic Geometry》 · 第 234 页 · Chapter III，Section 4「Čech Cohomology」
Let $X$ be a topological space and let $\mathcal U$ be an open covering of $X$. For any sheaf of abelian groups $\mathcal F$ on $X$, we define the $p$th Čech cohomology group of $\mathcal F$, with respect to the covering $\mathcal U$, to be $\check H^p(\mathcal U,\mathcal F)=h^p(C^\bullet(\mathcal U,\mathcal F))$.