New obstructions to the thickening of 𝐶𝑊-complexes

Cornea, Octavian

doi:10.1090/S0002-9939-04-07345-9

New obstructions to the thickening of $CW$-complexes
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Proc. Amer. Math. Soc. 132 (2004), 2769-2781 Request permission

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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