On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces. (English) Zbl 0569.55006
The first part of the paper is a recollection of results on rationalized H and co-H-spaces. Proofs get rid of the finite type assumptions. The second part concerns decomposable H-spaces and co-H spaces over a subring R of \({\mathbb{Q}}\), which contains 1/2 and 1/3. Criteria for decomposability are obtained. The main result is the description of the multiplicative structure of [X,E] (resp. [C,X]) when E is a decomposable H-space (resp. C is a decomposable co-H space) for some X.
Reviewer: J.-C.Thomas
MSC:
| 55Q05 | Homotopy groups, general; sets of homotopy classes |
| 55P45 | \(H\)-spaces and duals |
| 55P35 | Loop spaces |
| 55P40 | Suspensions |
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