A Non-isolated Addendum to the Theorem of Bobadilla and Pe{\l}ka

TL;DR

This paper extends the theorem of Bobadilla and Pe{ }lka to a non-isolated setting for aligned hypersurface singularities, broadening its applicability in singularity theory.

Contribution

It introduces a non-isolated version of the theorem specifically for aligned hypersurface singularities, expanding the original theorem's scope.

Findings

Theorem of Bobadilla and Pe{ }lka implies a non-isolated version.

Application to aligned hypersurface singularities.

Broadens understanding of singularity behavior.

Abstract

We show that the Theorem of Bobadilla and Pe{\l}ka implies a non-isolated version for aligned hyper surface singularities.