Abstract
In proving that the fiber of the double suspension has a classifying space, Gray constructed fibrations
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and
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He conjectured that E-2 circle phi is homotopic to the p(th)-power map on Omega(2)S(2np+1) when p is an odd prime. Harper proved this is true when looped once. We remove the loop when p greater than or equal to 5. Gray also conjectured that at odd primes f factors through a map OmegaS(2n+1) {p} --> BWn. We show that this is true as well when p greater than or equal to 5.
Original language | English |
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Pages (from-to) | 2953-2962 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 131 |
DOIs | |
Publication status | Published - Sept 2003 |
Keywords
- TORSION