Decompositions of certain loop spaces

[摘要] In this note we will study, for a space taken from two different classes of spaces, the decomposition of the loop space on such a space into atomic factors. The first class consists of certain mapping cones of maps between wedge products of Moore spaces. The second one is a p-local version of the class of coformal spaces from rational homotopy theory. As an application we verify Moore's conjecture about homotopy exponents for these spaces. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-12-01