LS-category of classifying spaces (Q1890765)
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scientific article; zbMATH DE number 757748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | LS-category of classifying spaces |
scientific article; zbMATH DE number 757748 |
Statements
LS-category of classifying spaces (English)
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7 January 1996
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If \(X\) is a simply connected space, denote by Baut \(X\) the base of the universal fibration of fibre \(X\). The author proves the the Lusternik- Schnirelmann category of Baut \(X\) is not finite when \(X\) is a wedge of spheres or when \(X\) is a finite CW-complex with finite dimensional rational homotopy. The proofs use Quillen's model of Baut \(X\).
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rational category
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classifying space
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LS-category
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universal fibration
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Lusternik-Schnirelmann category
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rational homotopy
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0.9479351
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0.9056077
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0.90548074
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0.8782172
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0.8756971
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