按照数学家们的分类，三叶形是最简单的纽结。 所谓纽结，它是三维空间中不与自己相交的封闭曲线，或者说是三维空间中与圆周同胚的图形。
The trefoil is the simplest knot in mathematicians' classification.
并推广了微分同胚的有关结果。
本文给出紧致系统上弱遍历自同胚的特征值与特征函数的结构性态。
In this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.
本文摘要叙述有关三维紧致光滑流形上结构稳定的微分同胚的一个特征性定理的证明。
This note takes a sketch of a proof of a characterization theorem for diffeomorphisms oa a compact 3-dimensional smooth manifold to be structurally stable.
图式流形的同胚分类可转化为图的一类2 -边着色计数问题。
The homeomorphism classification of graph like manifolds can be transformed into a 2 edge colouring enumeration problem for graphs.
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。
Results Generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.
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.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
基于能量平衡方程建立了热烟气层轰燃模型，经量纲归一化和微分同胚变换，得到属于燕尾突变的势函数。
A catastrophe potential function, which has the same form of swallowtail catastrophe, was obtained by dimensional normalization and diffeomorphism.
然后，我们将看到微分同胚群作用下的辛商为特殊子流形模空间上的以环面为结构群的丛。
And then we will see that in the framework of diffeomorphism group the symplectic quotient is torus bundle over the moduli space of special submanifold.
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。
We give a sufficient condition for the self-similar set in the plane which is homeomorphic to the unit disk.
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。
It is proved that relative hereditary, relative closed transition, weak homeomorphic invariant, L-good extension are all valid.
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 the third chapter, we study mainly iterative roots of piecewise homeomorphic maps of an Y-star.
单位圆上的拟交比同胚和拟对称函数，都是拟共形映照边界值的一种几何表征。
Quasihomographies and quasi-symmetric function on the unit circle are geometric characterizations of boundary value of quasi-conformal mapping.
单位圆上的拟交比同胚和拟对称函数，都是拟共形映照边界值的一种几何表征。
Quasihomographies and quasi-symmetric function on the unit circle are geometric characterizations of boundary value of quasi-conformal mapping.
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