Foliations on 3-manifolds which are the classifying space of themselves (Q1762920)
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scientific article; zbMATH DE number 2133671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Foliations on 3-manifolds which are the classifying space of themselves |
scientific article; zbMATH DE number 2133671 |
Statements
Foliations on 3-manifolds which are the classifying space of themselves (English)
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11 February 2005
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The authors give a classification of the closed orientable 3-manifolds foliated by codimension one foliations of nonexponential growth, which are homotopy equivalent to their classifying space \(B\Gamma\). They also construct arbitrarily ``large'' manifolds \(M\) of dimension 3 with foliations of an arbitrary growth and satisfying \(\pi_1(M)=\pi_1(B\Gamma)\).
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closed 3-manifold
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codimension one foliation
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growth type of foliation
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classifying space
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0.794942319393158
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0.7784122228622437
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0.7720293998718262
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