1 citations · 1 across the 4 of their papers we have counts for
5 papers
Bilipschitz geometry of real surface singularities whose tangent cone is a plane
Donal O'Shea, Leslie Wilson
Tangent cones are preserved under ambient bilipschitz equivalence, but the behavior of the Nash cone is more delicate. This paper explores the behavior of the Nash cone and of exce…
Exceptional rays and bilipschitz geometry of real surface singularities
Donal O'Shea, Leslie Wilson
It is known that ambient bilipschitz equivalence preserves tangent cones. This paper explores the behavior of the Nash cone and, in particular, exceptional rays under ambient bilip…
Algebraic approximation preserving dimension
Massimo Ferrarotti, Elisabetta Fortuna, Leslie Wilson
We prove that each semialgebraic subset of of positive codimension can be locally approximated of any order by means of an algebraic set of the same dimension. As a conseque…
Local algebraic approximation of semianalytic sets
Massimo Ferrarotti, Elisabetta Fortuna, Leslie Wilson
Two subanalytic subsets of R^n are called s-equivalent at a common point P if the Hausdorff distance between their intersections with the sphere centered at P of radius r vanishes…
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…