Torsion bounds of loop spaces and suspensions (Q2769467)
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scientific article; zbMATH DE number 1701495
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Torsion bounds of loop spaces and suspensions |
scientific article; zbMATH DE number 1701495 |
Statements
Torsion bounds of loop spaces and suspensions (English)
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6 February 2002
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boundary invariant
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\(H\)-torsion bound
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\(k\)-invariant
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\(\pi\)-torsion bound
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Let \(k_n(X)\) be the \(k\)-invariant in the Postnikov decomposition of a space \(X\). By \textit{D. Arlettaz} and \textit{N. Pointet-Tischler} [Fundam. Math. 161, No. 1-2, 17-35 (1999; Zbl 0947.55019)], for a large class of loop spaces, there are natural numbers \(N_n\) with \(N_nk_n(X)=0\), \(n\geq 1\). NEWLINENEWLINENEWLINEThe author extends that result on some classes of \(H\)-spaces and shows that a dual result holds for co-\(H\)-spaces as well.
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