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- Title
FUNCTOR CALCULUS AND THE DISCRIMINANT METHOD.
- Authors
Reis, Rui; Weiss, Michael
- Abstract
The discriminant method is a tool for describing the cohomology, or the homotopy type, of certain spaces of smooth maps with uncomplicated singularities from a smooth compact manifold L to ℝ k. We recast some of it in the language of functor calculus. This reformulation allows us to use the discriminant method in a setting where we wish to impose conditions on the multilocal behavior of smooth maps f : L → ℝk.
- Subjects
FUNCTOR theory; CALCULUS; DISCRIMINANT analysis; HOMOTOPY theory; MATHEMATICAL singularities; MANIFOLDS (Mathematics)
- Publication
Quarterly Journal of Mathematics, 2014, Vol 65, Issue 3, p1069
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/hat057