| 来自被圆周上的环面丛复迭的三维流形的基本群有限指数映射 |
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| 引用本文： | 黄红. 来自被圆周上的环面丛复迭的三维流形的基本群有限指数映射[J]. 北京大学学报(自然科学版), 2000, 36(3): 242-346 |
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| 作者姓名： | 黄红 |
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| 作者单位： | 北京大学数学科学学院,北京,100871 |
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| 摘 要： | 证明了任何从一个被圆周上的环面丛复迭的闭可定向三维流形到非球状的闭可定向不可约三维流形的基本群有限指数映射同伦于一个复迭映射 ,从而映射度非零。
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| 关 键 词： | 基本群有限指数映射 圆周上的环面丛 非球状三维流形 复迭映射 非零映射度 π1-finite-index map |
| 修稿时间： | 1999-07-05 |
π1-finite-index Maps from 3-manifolds Covered by Torus Bundles over S1 |
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| HUANG Hong. π1-finite-index Maps from 3-manifolds Covered by Torus Bundles over S1[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2000, 36(3): 242-346 |
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| Authors: | HUANG Hong |
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| Abstract: | It is proved that any π1-finite-index map from a closed orientable 3-manifold covered by a torus bundle over S1 to a closed aspherical orientable irreducible 3-manifold is homotopic to a covering map,and is of non-zero degree.This verifies a special case of the conjecture that any π1-surjective map between closed aspherical 3-manifolds having the same rank on π1 must be of non-zero degree. |
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| Keywords: | torus bundle over S1 aspherical 3-manifold covering map non-zero degree |
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