同胚

Banach空间中的（E1）拓扑与空间的同胚问题

The ( E_1 ) Topology in Banach Space and the Homeomorphism of Spaces

映射：φX&>Y称为覆盖映射，如果φ是k到1的开的局部同胚映射。

The mapping φ: X & > Y is a covering mapping if φ is an " k-to-1 ", open , local homeomorphism .

关于C~n中实超曲面之间的光滑CR同胚

On Smooth CR Homeomorphisms between Real Hypersurfaces in C ~ n

两类K4同胚图的色唯一性

On Chromatic Uniqueness of K_4 Homeomorphs

圆周上Markov映射逆极限空间的同胚问题

Homeomorphism problem on inverse limit spaces by Markov circle maps

将伪轨跟踪性的一些性质推广到弱跟踪性上，证明了：（i）f有弱跟踪性当且仅当逆极限空间上的转移同胚σf有弱跟踪性；

Some properties of the pseudo-orbit tracing property is generalized to the weak shadowing property .

设X是紧致度量空间，f：X→X为同胚。

Let X is a compact metric space , f : X → X is a homoeomorphism .

μ（z）-同胚的边界对应

The Boundary Correspondence of μ( z ) - homeomorphisms

具有n周期吸引轨道Julia分形图分维同胚分形插值算法

Homology Fractal Interpolating Algorithm on Fractal Dimension of Julia Fractal Image with Attracting Orbit of n Period

LF拓扑空间的商空间的同胚

On Homeomorphism of Quotient Spaces of LF Topological Spaces

c.紧映射。紧致黎曼面上具有可积伸张及指定界值的拟共形同胚的极值映照

C Compact . The Extremal Mapping with given boundary values and quasiconformal homeomorphisms on compact Riemann surfaces

Towel形域到方形域的全局同胚网格生成法

Global Homeomorphic Grid Generation of Towel Shaped Region to Square Transition Region

Towel型域到方形计算域全局同胚网格的数值生成方法

A numerical generating method for global homeomorphic grid from towel-shaped region to square computational region

弱条件下同胚的ACL性质

The ACL Property of Homeomorphisms under Weak Conditions

证明了Cn中有限型实超曲面到另一个实超曲面的每一个光滑CR同胚必定是CR微分同胚。

Every smooth CR homeomorphism from a real hypersurface of finite type to a real hypersurface in C ~ n is a CR diffeomorphism .

还证明了，当3-22<μκ<3+22且m>3时，Mm与球面同胚。

It is also proved that if 3-22 < κ / μ < 3 + 22 , then M ~ m is homeomorphic to a sphere when m > 3 .

本文证明了：正则曲面定义的条件X是一个同胚可以减弱为条件X是一对一的。

The paper shows , that the condition " X is a homeomorphism " of the definition of a regular surfaces can be substituted with the condition " X is One-to-one " .

微分同胚群Diff（s）在参数长度不固定情形下的推广

Extension of diffeomorphism group diff ( s ) in the case of non-fixed parameter length

Liénard型方程在限定条件下可用同胚理论证明其存在唯一周期解。

Homeomorphism theory can be used to prove that the Li é nard type equation has only one periodic solution in some restricted condition .

Zhao提出在G（n，n+3）中存在17个同胚图，并且进一步通过这些图的色多项式系数将它们分成了5类。在L。

Zhao presented that there exist 17 homeomorphic graphs in Gn . n + 3 , and then divided these graphs into five chromatic classes by the coefficients of the chromatic polynomials of the graphs .

分割和配准在医学图像分析中有着重要的作用，我们也发展了基于偏微分方程的医学图像分割算法和基于微分同胚Demons算法的医学图像配准算法。

We developed a segmentation method based on partial differential equation and a registration method based on diffeomorphic demons algorithm for medical images processing .

通过构造适当的Lyapunov泛函，同胚映射原理，以线性矩阵不等式，在参数不确定项有界且满足一个匹配条件下，得出了全局鲁棒稳定型判据。

By constructing the Lyapunov functional , using the definition of homeomorphism map and linear matrix inequality , the global robust stability criterion can be obtained for the bounded parameter uncertainties .

设f是个同胚映射，得到了如下结果：若f有POTP且是distal的，则fn不具有平均跟踪性；

Let f be a homeomorphism , the following statements were obtained : if f is distal and has POTP , then fn does not have the average shadowing property ;

本文所讨论的拓扑空间是完全正则空间，对于拓扑空间，X的任意两个点p，q，如果p，q都是X的Remote点，在X~中看是否一定同胚呢？

In this paper all spaces are completely regular topological spaces . If p , q are belong to X which is a topological space , and p , q are remote points of X , are they homeomorphic in X ~ ?

定理2.2.6.存在I2上的一个温顺的右移同胚fa，使得fa有一个基数为a的1-混沌集，但没有不可数的混沌集。

Theorem 2.2.6 . There exists a docile right-translation homeomorphism f_a from I ~ 2 × I ~ 2 to itself such that f_a have a 1 & scrambled set with cardinality a but has no uncountable scrambled set .

4节给出了紧致度量空间上的distal自同胚不具有伪轨跟踪性的一个充分条件，并给出了区间上和圆周上distal同胚的等价刻划。

In section 2.4 , a sufficient condition is given for a distal homeomorphism not having the POTP . In the end of this section , we describe the distal homeomorphism s of intervals and circles .

一部分与同胚龄睾丸或卵巢联合培养，观察生殖腺分泌的苗勒管抑制素（MIS）对两类细胞致死率的差异；

In order to observe the difference of cell death rate induced by Mullerian inhibiting substance ( MIS ) secreted from gonad , some cells were co-cultured with fetal testis or ovary in the same embryonic age .

本章针对工程实际需要，在Cohen-Grossberg神经网络中引入了不同的类的时滞项，根据同胚映射原理，给出了平衡点的唯一性。

According to definition of homeomorphism map , the uniqueness of equilibrium for Cohen-Grossberg neural networks with different-type delays .

我们证明了对于一个曲率下有界的开流形，当它的Excess被其临界半径的某个函数所界定时，它就有有限拓扑型或微分同胚于n维z欧氏空间。

We prove that for an open manifold with curvature bounded from below , it has finite topological type or it is diffeomorphic to R ~ n when its excess is bounded by some function of its critical radius .

本文中，我们主要讨论曲面上一种特殊自同胚&Dehntwist的重合点，给出了重合点Nielsen数与闭曲线的最小几何相交数的联系。

We obtain a relation between the Nielsen number of coincidence points of two Dehn twists and the minimal geometric intersection number of the simple closed curves determining these two Dehn twist .