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

 

On the Ganea conjecture for manifolds


Author: Yu. B. Rudyak
Journal: Proc. Amer. Math. Soc. 125 (1997), 2511-2512
MSC (1991): Primary 55M30; Secondary 57Q99, 57R19
MathSciNet review: 1402886
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Abstract: Using a result of Singhof, we prove that $\operatorname {cat}(M \times S\sp m)=\operatorname {cat}M+1$ provided $M$ is a connected closed PL manifold with $\dim M \leq 2\operatorname {cat}M-3$ and $S\sp m$ is the $m$-sphere, $m>0$.


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Additional Information

Yu. B. Rudyak
Affiliation: Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany
Email: july@mathi.uni-heidelberg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03982-8
PII: S 0002-9939(97)03982-8
Received by editor(s): March 7, 1996
Additional Notes: The author was partially supported by Deutsche Forschungsgemeinschaft
Communicated by: Thomas Goodwillie
Article copyright: © Copyright 1997 American Mathematical Society