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Critical Points of Functions on Singular Spaces

David B. Massey
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Abstract

We 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.

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David B. Massey. 1999-08-19. Critical Points of Functions on Singular Spaces. https://arxiv.org/abs/math/9908104

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