The Mitchell-Richter filtration of loops on 
	      Stiefel manifolds stably splits


		Gregory Arone
		University of Chicago
 		arone@math.uchicago.edu



We prove that the Mitchell-Richter filtration of the space of loops on
complex Stiefel manifolds stably splits. The result is obtained as
a special case of a more general splitting theorem. Another special
case is H. Miller's splitting of Stiefel manifolds. The proof uses the
theory of orthogonal calculus developed by M. Weiss. The argument is 
inspired by an old argument of Goodwillie for a different, but
related, general splitting result.