On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces (Q1060737)
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scientific article; zbMATH DE number 3909332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces |
scientific article; zbMATH DE number 3909332 |
Statements
On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces (English)
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1985
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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.
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groups of homotopy classes
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rationalized H and co-H-spaces
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decomposable H-spaces
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0.8628488
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0.8540884
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