✦ LIBER ✦

Critical points of functions on singular spaces

✍ Scribed by David B. Massey

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 369 KB
Volume: 103
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00161-8

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✦ Synopsis

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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