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New proof of two Berstein-Hilton theorems
Author(s):
Carmen
Elvira;
Jose
L.
Navarro
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3737-3740.
MSC (2000):
Primary 55P40, 55P45;
Secondary 55P30
Posted:
July 10, 2001
MathSciNet review:
1860510
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Abstract:
With arguments of Homotopy Theory and without the assumption of finite type, we give short proofs of two classic theorems which deal with the co- -type of a suspension and the homotopy class of a suspension map.
References:
-
- 1.
- I. Berstein and P. Hilton, On suspensions and comultiplications, Topology 2 (1963), 73-82 MR 27:762
- 2.
- T. Ganea, A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965), 295-322 MR 31:4033
- 3.
- P. Hilton, On divisors and multiples of continuous maps, Fundamenta Math. 43 (1956), 358-386 MR 18:814b
- 4.
- P. Hilton, Note on a theorem of Stasheff, Bull. Polish Acad. Sci. Math. 10 (1962), 127-131 MR 25:4536
- 5.
- M. Walker, Homotopy pullbacks and applications to duality, Canad. J. Math. 29 (1977), 45-64 MR 55:11245
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Additional Information:
Carmen
Elvira
Affiliation:
Departamento de Analisis Economico, Universidad de Zaragoza, 50005-Zaragoza, Spain
Email:
celvira@posta.unizar.es
Jose
L.
Navarro
Affiliation:
Departamento de Matematicas, Universidad de Zaragoza, 50009-Zaragoza, Spain
Email:
jlnava@posta.unizar.es
DOI:
10.1090/S0002-9939-01-06358-4
PII:
S 0002-9939(01)06358-4
Keywords:
Co-$H$-space,
suspension,
coprojective plane
Received by editor(s):
March 20, 2000
Posted:
July 10, 2001
Additional Notes:
The first author was partially supported by DGS, project PD96-0740
Communicated by:
Ralph L. Cohen
Copyright of article:
Copyright
2001,
American Mathematical Society
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