拓扑不变量

用广义'tHooft张量及低能边界构造了non-Abelian规范理论的拓扑不变量。

We construct a series of topological invariants with non-Abelian symmetry in terms of the generalized t ' Hooft tensors and low energy boundaries .

文中利用Chern-Weil理论和一种新的Chern-Weil-like理论构造了一系列Non-Abelian规范场的拓扑不变量。

In terms of Chern-Weil theory and a new Chern-Weil-like theory , we construct a series of topological invariants of non-Abelian gauge field theory .

通过对传递系统（X，f）在fn，n∈N的作用下的伪分解，先引入一个新的拓扑不变量传递系统的PD函数（伪分解函数）。

The authors first introduce a new topological invariant , the PD-function ( pseudo decomposition function ) of a transitive system , by the investigation of the pseudo decomposition of a transitive system ( X , f ) under the action of fn , n ∈ N.

本文讨论一种无限维流形上拓扑不变量，即具有可定向Fredholm结构的实Banach流形上Cr映射度.它是通常有限维流形上光滑映射度的一种自然推广。

We discuss a type of topological invariants on the infinite-dimensional manifolds , that is , Cr mapping degrees on Banach manifolds with orientable Fredholm structures . Our degree theory is an intrinsical extension and unification of the usual smooth mapping degrees on the finite-dimensional manifolds .

有限可剖分空间的新拓扑不变量

Topological invariants of new type of finite polyhedrons

分子拓扑不变量的定量指标

Quantitative Index of Topological Invariant for Molecule

化学图论研究化学分子图的拓扑不变量和拓扑性质，以及它们与化合物物理化学性质之间的相关性，因而在预测、合成新的化合物及药物方面有重要的应用。

Chemical graph theory plays an important role in predicting and synthesizing new chemical compounds and new medicines .

本文综述了关于某些拓扑不变量，六角链的极值和排序问题的一些研究进展及进一步思考。

In this paper , some results and further considerations on the extremes and orderings of hexagonal chains with respect to some topological invariants are introduced .

此外，较为系统的探讨了对一些拓扑不变量的研究情况，并对当时所讨论的一些热点问题，如拓扑空间的可度量化问题也给予了介绍。

In addition , it discusses some studies about topological invariants , and introduces some hot issues at that time , such as the problem of metrizable topological space .

同时考虑运动链中多副杆的连接关系，提出了一种新的运动链拓扑不变量&多副杆连接谱。

At the same time , by considering the connecting relation of multiple auxiliary bar in kinematic chain , a kind of new topological unvariable of kinematic chain & connecting spectrum of multiple auxiliary bar was advanced .

在另一方面，等变代数拓扑关注于带有群作用的拓扑空间代数不变量的研究，其更深刻的本质在于对空间对称性的揭示，因此从来都在数学研究中占有重要的地位。

On the other hand , equivariant algebraic topology concerns the study of algebraic invariants of space with group actions . It is really a study of symmetries on spaces , and has always occupied a central role in mathematics .

拓扑关系形式化描述和区分的标准是拓扑不变量。

The criteria on the description and determination of topological relations are topological invariants .

本文讨论了拓扑流形上Fb的整系数同调群和F的拓扑临界点的不变量间的关系。

In this paper we discuss the relation between the integer homology group of F_b on topological manifold and the invariants of topologically critical point of F.

不分明拓扑空间中集网收敛与分离性拓扑关系形式化描述和区分的标准是拓扑不变量。

CONVERGENCE OF SETNETS AND SEPARATION IN FUZZY TOPOLOGICAL SPACES The criteria on the description and determination of topological relations are topological invariants .

空间拓扑关系是空间关系的一种，它是指拓扑变换（平移、旋转、缩放等）下的拓扑不变量。

As one of spatial relations , spatial topological relation refers to topological invariant of topological transformation ( translation , rotation , scaling and so on ) .