16 citations · 44 across the 9 of their papers we have counts for
5 papers · 1 filter
A-classification of map-germs via K-equivalence
Kevin Houston, Roberta Wik Atique
The classification of map-germs up to the natural right-left equivalence (also known as A-equivalence) is often complicated. Certainly it is more complicated than K-equivalence whi…
Homotopy Type of Disentanglements of Multi-germs
Kevin Houston
For a complex analytic map f from n-space to p-space with n<p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogo…
Equisingularity and The Euler Characteristic of a Milnor Fibre
Kevin Houston
We study the Euler characteristic of the Milnor fibre of a hypersurface singularity. This invariant is given in terms of the Euler characteristic of a fibre in between the original…
Stratification of Unfoldings of Corank 1 Singularities
Kevin Houston
In the study of equisingularity of families of mappings Gaffney introduced the crucial notion of excellent unfoldings. This definition essentially says that the family can be strat…
Equisingularity of families of hypersurfaces and applications to mappings
Kevin Houston
In the study of equisingularity of isolated singularities we have the classical theorem of Briancon, Speder and Teissier which states that a family of isolated hypersurface singula…