\((n)\)-pairing with axes in rational homotopy (Q961974)
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scientific article; zbMATH DE number 5689250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \((n)\)-pairing with axes in rational homotopy |
scientific article; zbMATH DE number 5689250 |
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\((n)\)-pairing with axes in rational homotopy (English)
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1 April 2010
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Given maps \(f: X \rightarrow Z\) and \( g: Y\rightarrow Z \), the author introduces \(n\)-pairing with axes \(f\) and \(g\), using \(n\)th Ganea spaces. This is a generalization of the notion of \(H(n)\)-space due to Y.~Félix and D.~Tanré (when \(X=Y=Z \) and \(f=g=1_X)\). The construction is also related to the generalized Gottlieb set. The author makes some computations of \(n\)-pairing using Sullivan models in rational homotopy.
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Ganea space
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\(n\)-pairing with axes
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Sullivan model
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Gottlieb group
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