The Cone Length of a Product of Co-H-Spaces and a Problem of Ganea |
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| Authors: | Arkowitz Martin; Stanley Donald |
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| Institution: | Department of Mathematics, Dartmouth College Hanover, NH 03755, USA; Martin.Arkowitz{at}dartmouth.edu
Department of Mathematical Science, University of Alberta Edmonton, AB, Canada T6G 2G1, stanley{at}math.ualberta.ca |
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| Abstract: | It is proved that the cone length or strong category of a productof two co-H-spaces is less than or equal to two. This yieldsthe following positive solution to a problem of Ganea. Let    2p(S3) be an element of order p, p a prime  3, and let X(p)= S3 e2p+1. Then X(p) x X(p) is the mapping cone of some map : Y  Z where Z is a suspension. 2000 Mathematics Subject Classification55M30, 55P50 (primary); 55P45 (secondary). |
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