As mathematicians say, “Every simply connected closed 3-manifold is homeomorphic to a 3-sphere.”
用数学语言表达就是“每个单连通3重（3-manifold）封闭体与一个三维球体同胚（homeomorphic）。”
As mathematicians say, "Every simply connected closed 3-manifold is homeomorphic to a 3-sphere."
用数学语言表达就是“每个单连通3重（3-manifold）封闭体与一个三维球体同胚（homeomorphic）。”
In the third chapter, we study mainly iterative roots of piecewise homeomorphic maps of an Y-star.
在第三章，我们主要研究了Y星上逐片同胚映射的迭代根的问题。
In this paper, some results on fixed points of homeomorphic maps in metric Spaces have been obtained.
本文给出了度量空间中某些同胚非扩张映射不动点存在的充分必要条件。
We give a sufficient condition for the self-similar set in the plane which is homeomorphic to the unit disk.
最后一章讨论自相似集的拓扑结构，给出了平面上的自相似集同胚于单位圆盘的充分条件。
The method was based on a homeomorphic transformation of the infinity into the origin(linear singular point).
用一同胚变换将无穷远点转变成原点（初等奇点）。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
Results Generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.
结果推广了同胚映射、同伦等价和同伦正则态射的有关结果。
It is proved that relative hereditary, relative closed transition, weak homeomorphic invariant, L-good extension are all valid.
证明了相对正规分离性是遗传的、相对闭集传递的、弱同胚不变的、L -好的推广性质。
This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
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