1) Pre-homeomorphisms
pre-同胚
2) Homeomorphism
[英][,həumiə'mɔ:fizəm] [美][,homɪə'mɔrfɪzəm]
同胚
1.
The ACL Property of Homeomorphisms under Weak Conditions;
弱条件下同胚的ACL性质
2.
Some existence and uniquencess results are obtained for the nonlinear fourth order elliptic boundary value problems by using some results about the global homeomorphism theory and dynamical system theory respectively.
分别利用全局同胚理论和动力系统理论的一些结论,研究了非线性四阶椭圆边值问题解的存在性与唯一性。
3.
By using homeomorphism method and the extended inverse function theorem,the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.
首先在Hilbert空间中建立了强制不等式,利用同胚方法和抽象的反函数定理,得到了半线性伪抛物方程初边值问题解的存在性和惟一性定理。
3) homeomorphic
[,həumiəu'mɔ:fik]
同胚
1.
In this paper,the author researches the sufficient conditions which make the compact orientable submainfolds of the unit sphere homeomorphic to the sphere.
研究单位球面Sn+k中紧致可定向子流形Mn同胚于球面Sn的充分条件,一是在子流形维数n为偶数维的情形下给出一个有关Ricci曲率与平均曲率向量模长之间的不等式;另一个是Mn在为极小子流形时给出一个有关Ricci曲率和数量曲率的下界。
2.
The main results are by Anderson that are l~2 is homeomorphic to R~∞, and T×Q is homeomorphic to Q ,where Q is the Hilbert cube ,T is the subspase ([0,1]×{0})×({1/2}×[0,1]) of [0,1]×[0,1], which looks like the letter l~2 and R~∞are not homeomorphism ,but it is true for the infinite-dimensional space R~∞? Frech arised the question that whether l.
以l~2为具体的研究对象，重点介绍了Anderson的一些相关工作，例如，l~2同胚于R~∞，T×Q同胚于Q，这里Q表示Hilbert立方，T记为[0，1]×[0，1]的子空间([0，1]×{0})∪({1/2}×[0，1])，这个集合的形状类似于英文字母中的’T’。
4) homoeomorphism
[,həumiə'mɔ:fizəm]
全局同胚
5) diffeomorphism
微分同胚
1.
In this paper,we discuss smoothly conjugating equivalence of some local diffeomorphisms with hy- perbolic fixed points on finite dimensional space.
考虑有限维线性空间中的一类局部微分同胚在双曲不动点O附近的光滑共轭等价问题。
2.
In the paper several counterexamples of diffeomorphism used in analysis are constructed.
文章构造了微分同胚在分析学中的一些反例,对点集拓扑,泛函分析中相关问题的理解和认识有益处。
3.
We mainly discuss that diffeomorphism can keep Poisson structure on Poisson manifold.
讨论了微分同胚对Poisson流形上Poisson结构的保持 ,得到了微分同胚所诱导的Poisson括号的一些性质 ,最后 ,还得到了有关Poisson流形上的Casimir函数在微分同胚作用下仍然是Casimir函数这一有用的定
6) Distal homeomorphism
distal同胚
1.
It is proved that if a homeomorphism f on a compact metric space with the POTP is distal homeomorphism, then f does not have the average shadowing property.
证明了紧致度量空间中有伪轨跟踪的distal同胚不具有平均跟踪性,并给出了有平均跟踪性的同胚是极小的一个充分条件。
补充资料：Y微分同胚
Y微分同胚
- (tiffeomorphism
Y微分同胚[Y一由肠印和。卿“，;Y一压“中中e服叩中邢M] 生成y系统(Y一systeln)的微分同胚.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条