Degree one maps between geometric 3-manifolds
Degree one maps between geometric 3-manifolds
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几何 3 流形之间的一级映射
DOI：
10.1090/s0002-9947-1992-1052909-6
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发表时间：
1992
影响因子：
1.3
通讯作者：
Yongwu Rong
中科院分区：
文献类型：
--
作者：
Yongwu Rong
设M和N是两个紧致可定向的3-流形，如果M到N存在一次映射，则M≥N。这就给出了一种测量3-流形复杂度的方法。本文的主要目的是给出以下猜想的一个肯定的答案：如果在Haken流形之间存在一个无限的1次映射序列，那么最终所有的流形都是彼此同纯的。更一般地说，我们证明了一个定理，该定理表明在所谓的“几何3流形”之间的任何一次无限序列映射最终必须成为同伦等价
Let M and N be two compact orientable 3-manifolds, we say that M ≥ N, if there is a degree one map from M to N. This gives a way to measure the complexity of 3-manifolds. The main purpose of this paper is to give a positive answer to the following conjecture: if there is an infinite sequence of degree one maps between Haken manifolds, then eventually all the manifolds are homeomorphic to each other. More generally, we prove a theorem which says that any infinite sequence of degree one maps between the so-called «geometric 3-manifolds» must eventually become homotopy equivalences
影响因子：
0.7
作者：
.Ilker S. Yuce-Ilker-S.-Yuce-102800584
通讯作者：
.Ilker S. Yuce-Ilker-S.-Yuce-102800584