New obstructions to the thickening of 𝐶𝑊-complexes-Reference-Cited by-同舟云学术

New obstructions to the thickening of 𝐶𝑊-complexes

Published:2004-03-25 Issue:9 Volume:132 Page:2769-2781
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cornea Octavian

Abstract

In this note we use Morse theory to produce new obstructions to the existence of thickenings of C W CW -complexes in low codimension. The obstructions are expressed as nonexistence of solutions x x to an equation of type Σ k L = Σ s x \Sigma ^{k}L=\Sigma ^{s}x with L L a Ganea-Hopf type invariant.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-09/S0002-9939-04-07345-9/S0002-9939-04-07345-9.pdf

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