Quillen model of Ganea spaces and rational cocategory (Q2738905)
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scientific article; zbMATH DE number 1643187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quillen model of Ganea spaces and rational cocategory |
scientific article; zbMATH DE number 1643187 |
Statements
2001
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algebraic models
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LS-category
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co-category
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Quillen model of Ganea spaces and rational cocategory (English)
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The (normalized) LS-category of a space \(X\) is the least integer \(n\) such that the Ganea fibration \(p_n: G_n(X)\to X\) admits a section. Ganea introduced also an Eckmann-Hilton dualization of the space \(G_n(X)\), denoted by \(G^n(X)\), which leads naturally to a definition of co-category. In the paper under review, the author gives a construction of an algebraic rational model of \(G^n(X)\) in terms of differential Lie algebras and studies an algebraic rational analogue of co-category.
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0.7732768058776855
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