Abstract
In proving that the fiber of the double suspension has a classifying space, Gray constructed fibrations
[GRAPHICS]
and
[GRAPHICS]
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 |
|---|---|
| Pages (from-to) | 2953-2962 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 131 |
| DOIs | |
| Publication status | Published - Sep 2003 |
Keywords
- TORSION
Cite this
Proofs of Two Conjectures of Gray involving the double Suspension. / Theriault, Stephen D.
In: Proceedings of the American Mathematical Society, Vol. 131, 09.2003, p. 2953-2962.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Proofs of Two Conjectures of Gray involving the double Suspension
AU - Theriault, Stephen D
PY - 2003/9
Y1 - 2003/9
N2 - In proving that the fiber of the double suspension has a classifying space, Gray constructed fibrations[GRAPHICS]and[GRAPHICS]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.
AB - In proving that the fiber of the double suspension has a classifying space, Gray constructed fibrations[GRAPHICS]and[GRAPHICS]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.
KW - TORSION
U2 - 10.1090/S0002-9939-03-06847-3
DO - 10.1090/S0002-9939-03-06847-3
M3 - Article
VL - 131
SP - 2953
EP - 2962
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
ER -