A characterization of Whitney a-regular complex analytic stratifications

preprint2012arXivOpen access

Abstract

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 aa-regular. Our result can be seen as a complex version of Trotman's theorem.

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