Let $X$ be a topological space. A stratification of $X$ is a decomposition into a collection of subsets $X = \amalg_i \ X_i$ (called strata) such that $X_i$'s are open in its closure, and $\partial X_i = \overline{X_i} \setminus X_i$ is again a disjiont union of strata. A sheaf $\mathcal{F}$ on $X$ is constructible with respect to a stratification $\amalg \ X_i$ if $\mathcal{F}\big|_{X_i}$ are locally constant sheaves for all $i$.
I heard if the stratification satisfies some conditions, then we can calculate $H^i(X;\mathcal{F})$ by using the \v{C}ech complex of a certain open cover associated to the stratification. Does anyone know if there's reference about this? Or maybe the details are not hard?
By the way, I know there's probably a page in Stack Project about this. But I concern more about manifold so I'm looking for one with more topological setting.
Thanks.