When is the natural map 𝑋→ΩΣ𝑋 a cofibration?
| Autor: | L. Gaunce Lewis |
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| Rok vydání: | 1982 |
| Předmět: | |
| Zdroj: | Transactions of the American Mathematical Society. 273:147-155 |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/s0002-9947-1982-0664034-8 |
| Popis: | It is shown that a map f : X → F ( A , W ) f:X \to F(A,W) is a cofibration if its adjoint f : X ∧ A → W f:X \wedge A \to W is a cofibration and X X and A A are locally equiconnected (LEC) based spaces with A A compact and nontrivial. Thus, the suspension map η : X → Ω ∑ X \eta :X \to \Omega \sum X is a cofibration if X X is LEC. Also included is a new, simpler proof that C.W. complexes are LEC. Equivariant generalizations of these results are described. |
| Databáze: | OpenAIRE |
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