It is clear that for any graph g the space r(g) and r(tg) are homeomorphic . 显然，对任意一个图G，空间R（G）和空间R（TG）是同胚的。
2.
The lower bound of homeomorphic classification of g and g 同胚分类的下界
3.
In this paper , we derive the homeomorphic classes of graphlike manifold with contraction by means of twist operation 在这篇文章中,通过使用扭转运算,我们获得了具有缩影的图式流形的同胚分类
4.
In the case ( 3 ) . we also have that each critical component and its inverse images under iterations are homeomorphic to the filled julia set of a quadratic polynomial with connected julia set . each of the other components of a ' ( / ) is a single point 对于（ 3 ） ，我们进一步有：填充juia集包含临界点的周期分支及其迭代逆象同胚于一个有连通julia集的二次多项式的填充julia集，而其他分支都是单点。
5.
In the framework , a control mesh may be arbitrary one - dimensional or two - dimensional orientated topological manifold , and the curve or surface is defined on differential manifold homeomorphic to the control mesh with a potential function as its basis functions . this method is an extension of nurbs , which efficiently overcomes the limitations of nurbs 广义有理参数曲线曲面定义在与控制网格拓扑同胚的微分流形上，以高度一般的势函数为基函数，其控制网格可以是任意的一维拓扑流形和二维可定向拓扑流形。
6.
In the last part of this chapter , we will summarize the main results of existence , uniqueness and regularity for solution of such kind of problems . in chapter ii , we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft , which is homeomorphic to the cylindrical surface 使用椭圆正则化方法分别在每个区域上讨论dirichlet问题，即先构造辅助问题，并建立辅助问题的能量不等式，然后由紧性推理方法，利用辅助问题的解的某种收敛性来得到原问题的弱解存在性。
