3 citations · 3 across the 5 of their papers we have counts for
7 papers
Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces y^a = t^b x^c +x^d
Dwi Juniati, Laurent Noirel, David Trotman
We specify the canonical stratifications satisfying respectively Whitney (a)-regularity, Whitney (b)-regularity, Kuo-Verdier (w)-regularity, and Mostowski (L)-regularity for the fa…
On the local geometry of definably stratified sets
David Trotman, Guillaume Valette
We prove that a theorem of Pawlucki, showing that Whitney regularity for a subanalytic set with a smooth singular locus of codimension one implies the set is a finite union of diff…
A geometric proof of the existence of definable Whitney stratifications
Nhan Nguyen, Saurabh Trivedi, David Trotman
We give a geometric proof of existence of Whitney stratifications of definable sets in o-minimal structures.
Detecting Thom faults in stratified mappings
Saurabh Trivedi, David Trotman
We state and prove several characterizations of Thom's regularity condition for stratified maps. In particular we extend to stratified maps some characterizations of Whitney (a) re…
Briançon-Speder examples and the failure of weak Whitney regularity
Karim Bekka, David Trotman
It is easy to find real algebraic varieties with weakly Whitney regular stratifications which are not Whitney regular, and we give such an example in section 3 below. No examples a…
On the multiplicities of families of complex hypersurface-germs
Camille Plenat, David Trotman
We show that the possible drop in multiplicity in an analytic family of complex analytic hypersurface singularities with constant Milnor number is controlled by the powers…
Equisingularity of sections, condition, and the integral closure of modules
Terence Gaffney, David Trotman, Leslie Wilson
This paper uses the theory of integral closure of modules to study the sections of both real and complex analytic spaces. The stratification conditions used are the (t^) conditions…