|STEPHEN D. THERIAULT, Department of Mathematics, MIT, Cambridge, Massachusetts 02139, USA|
|Homotopy exponents for certain -2r Moore spaces|
For a prime p, the -pr Moore space Pm(pr) is the cofiber of the degree pr map on Sm. A special case of Barratt's conjecture is that if then the p-primary torsion in is annihilated by pr+1. It is well known that this is true when p is an odd prime. We investigate to what extent it is true when p=2 and .