Before revision: In this paper, we investigate a sheaf-theoretic interpretation of stratification learning . Motivated by the work of Alexandroff (1937) and McCord (1978), we aim to redirect efforts in the computational topology of triangulated compact polyhedra to the much more computable realm of sheaves on partially ordered sets .
After revision: In this paper, we investigate a sheaf-theoretic interpretation of stratification learning from geometric and topological perspectives .