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New obstructions to the thickening of  -complexes
Author(s):
Octavian
Cornea
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2769-2781.
MSC (2000):
Primary 57R12, 55Q25;
Secondary 37D15
Posted:
March 25, 2004
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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:
10.1090/S0002-9939-04-07345-9
PII:
S 0002-9939(04)07345-9
Received by editor(s):
December 17, 2002
Received by editor(s) in revised form:
May 17, 2003
Posted:
March 25, 2004
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2004,
American Mathematical Society
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