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New obstructions to the thickening of -complexes
Authors:Octavian Cornea
Affiliation: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 $CW$-complexes in low codimension. The obstructions are expressed as nonexistence of solutions $x$ to an equation of type $Sigma^{k}L=Sigma^{s}x$ with $L$ a Ganea-Hopf type invariant.

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