We prove that 2(r+1).pi(*)(P-m(2(r))) = 0 provided m >= 4 and r >= 6. This is the best possible result. As well, for 2 <= r <= 5 we obtain upper bounds on the homotopy exponent of P-m(2(r)). (C) 2007 Elsevier Ltd. All rights reserved.
Bibliographical noteOpen Archive
- Homotopy exponent
- Moore space
- Whitehead product
- James–Hopf invariant