2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78982We compare and contrast various notions of the "critical locus" of a complex analytic function on a singular space. After choosing a topological variant as our primary notion of the critical locus, we justify our choice by generalizing Lê and Saito's result that constant Milnor number implies that Thom's a_f condition is satisfied.35 pagesAlgebraic Geometry32B15text