Stratification theory from the weighted point of view (Q2715663)

The authors investigate stratification theory in terms of the defining equations of strata and maps, offering a concrete approach to show that some given family is topologically trivial. One presents a criterion for Verdier's \((w)\)-regularity conditions and Kuo's ratio test condition in terms of the defining equations of the strata. Next one gives an explicit construction of a vector field for topological trivialization and one shows that these conditions imply the integrability of the vector fields, which gives a topological trivialization.