Resumen de Disentanglements of maps from 2n-space to 3n-space

Kevin Houston

• Abstract The ?rst disentanglement of a multigerm f : (C2n,S) ? (C3n,0) is shown to be homotopically equivalent to a wedge of (n + 1)-spheres and 2-spheres. For corank-1 monogerms in the same dimensions, the second disentanglement is shown to be homotopically equivalent to a wedge of n-spheres and circles.

  Good real perturbations of such maps are investigated and it is shown for multigerms in the case n = 1 with a good real perturbation that the real and complex disentanglements are homotopically equivalent.