Département de Mathématiques et de Statistique, Université de Montréal, CP 6128, Succursale Centre-ville, Montréal, Quebec H3C 3J7, Canada
Abstract:
In this note we use Morse theory to produce new obstructions to the existence of thickenings of -complexes in low codimension. The obstructions are expressed as nonexistence of solutions to an equation of type with a Ganea-Hopf type invariant.