5 citations · 7 across the 3 of their papers we have counts for
6 papers
Uniform linear bound in Chevalley's lemma
J. Adamus, E. Bierstone, P. D. Milman
We obtain a uniform linear bound for the Chevalley function at a point in the source of an analytic mapping that is regular in the sense of Gabrielov. There is a version of Chevall…
Desingularization of toric and binomial varieties
Edward Bierstone, Pierre D. Milman
We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succes…
Desingularization algorithms I. Role of exceptional divisors
Edward Bierstone, Pierre D. Milman
The article is about a "desingularization principle" common to various canonical desingularization algorithms in characteristic zero, and the roles played by the exceptional diviso…
Control of radii of convergence and extension of subanalytic functions
Edward Bierstone
Let g denote a real analytic function on an open subset U of Euclidean space, and let S denote the boundary points of U where g does not admit a local analytic extension. We show t…
Differentiable functions defined in closed sets. A problem of Whitney
E. Bierstone, P. D. Milman, W. Pawlucki
In 1934, Whitney raised the question of how to recognize whether a function f defined on a closed subset X of Euclidean space is the restriction of a function that is continuously…
Resolution of singularities in Denjoy-Carleman classes
Edward Bierstone, Pierre D. Milman
We show that a version of the desingularization theorem of Hironaka holds for certain classes of infinitely differentiable functions (essentially, for subrings that exclude flat fu…