Overview: Singularities arise naturally in a huge number of differentareas of mathematics and science. As a consequence, singularity theorylies at the crossroads of paths that connect many of the mostimportant areas of applications of mathematics with some of its mostabstract regions..The main goal in most problems of singularity theory is to understandthe dependence of some objects of analysis, geometry, physics, orother science (functions, varieties, mappings, vector or tensorfields, differential equations, models, etc.) on parameters..The articles collected here can be grouped under three h
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