The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits-Reference-Cited by-同舟云学术

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

Published:2000-10-04 Issue:4 Volume:129 Page:1207-1211
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Arone Greg

Abstract

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 closely related, general splitting result.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-04/S0002-9939-00-05794-4/S0002-9939-00-05794-4.pdf

Reference6 articles.

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