Decomposability of the \(H\)-spaces with bounded indecomposable homology (Q2732247)
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scientific article; zbMATH DE number 1623444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposability of the \(H\)-spaces with bounded indecomposable homology |
scientific article; zbMATH DE number 1623444 |
Statements
1 February 2002
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\(H\)-space
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indecomposable homology
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\(p\)-decomposition
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Decomposability of the \(H\)-spaces with bounded indecomposable homology (English)
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\textit{D. J. Anick}'s conjecture [Trans. Am. Math. Soc. 334, No. 2, 929-940 (1992; Zbl 0767.55008)] says: If \(X\) is a finite 1-connected CW-space then the loop space \(\Omega X\) is \(p\)-decomposable for all but a finite number of primes \(p\). NEWLINENEWLINENEWLINEThe author shows that any connected \(H\)-space of finite type with bounded indecomposable homology is \(p\)-decomposable for all sufficiently large primes \(p\).
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