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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

New proof of two Berstein-Hilton theorems


Authors: Carmen Elvira and Jose L. Navarro
Journal: Proc. Amer. Math. Soc. 129 (2001), 3737-3740
MSC (2000): Primary 55P40, 55P45; Secondary 55P30
Published electronically: 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-$H$-type of a suspension and the homotopy class of a suspension map.


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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: http://dx.doi.org/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
Published electronically: July 10, 2001
Additional Notes: The first author was partially supported by DGS, project PD96-0740
Communicated by: Ralph L. Cohen
Article copyright: © Copyright 2001 American Mathematical Society