The existence of maps of nonzero degree between aspherical 3-manifolds (Q1183076)
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scientific article; zbMATH DE number 32677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of maps of nonzero degree between aspherical 3-manifolds |
scientific article; zbMATH DE number 32677 |
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The existence of maps of nonzero degree between aspherical 3-manifolds (English)
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28 June 1992
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In this paper, all closed aspherical 3-manifolds are divided into eight classes. A complete answer concerning the existence of nonzero (absolute) degree maps between 3-manifolds in the different classes is obtained in a reasonable sense. The existence of nonzero degree maps between 3- manifolds in the same class is also discussed. There are several results of independent interest. All those results are proved without assuming the Thurston's geometrisation conjecture.
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closed aspherical 3-manifolds
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nonzero degree maps between 3-manifolds
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Thurston's geometrisation conjecture
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