We introduce a new algorithm for the structural analysis of finite abstract simplicial complexes based on local homology. Through an iterative and top-down procedure, our computes stratification ? poset P simplices complex K, such that each strata P?=i?P, P?=i is maximal among all open subposets U?P?=i? in its closure restriction Z-homology sheaf P?=i? to U locally constant. Passage localizatio...