# On local equisingularity

• ### Helmut A. Hamm

Universität Münster, Germany

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## Abstract

We will prove some generalization of the theorems of Lê and Ramanujam resp. of Timourian for the case where the ambient space is no longer $\mathbb{C}^m$. Furthermore we will derive some weaker result in the case of a family of non-isolated singularities.