Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equisingularity of families of hypersurfaces and applications to
  mappings   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 singularities is Whitney equisingular if and only if
the mu^*-sequence for a hypersurface is constant in the family.
  In this paper we generalize to non-isolated hypersurface singularities. By
assuming non-contractibility of strata of a Whitney stratification of the
non-isolated singularities outside the origin we show that Whitney
equisingularity of a family is equivalent to constancy of a certain selection
of invariants from two distinct generalizations of the mu^*-sequence.
Applications of this theorem to equisingularity of more general mappings are
given.

28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio