Article contents
Homotopy Decompositions Involving the Loops of Coassociative $co-H$ Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
James gave an integral homotopy decomposition of $\sum \Omega \sum X$, Hilton-Milnor one for $\Omega (\sum X\,\vee \,\sum Y)$, and Cohen-Wu gave $p$-local decompositions of $\Omega \sum X$ if $X$ is a suspension. All are natural. Using idempotents and telescopes we show that the James and Hilton-Milnor decompositions have analogues when the suspensions are replaced by coassociative $\text{co-}H$ spaces, and the Cohen-Wu decomposition has an analogue when the (double) suspension is replaced by a coassociative, cocommutative $\text{co-}H$ space.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2003
References
- 7
- Cited by