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arxiv: 1209.1282 · v2 · pith:Y4B2M4XNnew · submitted 2012-09-06 · 🧮 math.CV

A characterization of Whitney a-regular complex analytic stratifications

classification 🧮 math.CV
keywords complexanalyticmanifoldstratificationwhitneya-regularcharacterizationimplies
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We prove that the openness of the set of maps, between a Stein manifold and an Oka manifold, transverse to a stratification of a complex analytic subvariety in the target implies that the stratification is Whitney $a$-regular. Our result can be seen as a complex version of Trotman's theorem.

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