New obstructions to the thickening of -complexes

Author:
Octavian Cornea

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2769-2781

MSC (2000):
Primary 57R12, 55Q25; Secondary 37D15

DOI:
https://doi.org/10.1090/S0002-9939-04-07345-9

Published electronically:
March 25, 2004

MathSciNet review:
2054804

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Octavian Cornea**

Affiliation:
Département de Mathématiques et de Statistique, Université de Montréal, CP 6128, Succursale Centre-ville, Montréal, Quebec H3C 3J7, Canada

Email:
cornea@dms.umontreal.ca

DOI:
https://doi.org/10.1090/S0002-9939-04-07345-9

Received by editor(s):
December 17, 2002

Received by editor(s) in revised form:
May 17, 2003

Published electronically:
March 25, 2004

Communicated by:
Paul Goerss

Article copyright:
© Copyright 2004
American Mathematical Society