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正则覆盖
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  normal covering
     By the use of group action and normal covering we give an answer in some conditions from topological rigidity theorem in this article.
     本文通过群作用和正则覆盖,利用拓扑刚性定理对此问题给出一个判定性条件.
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  相似匹配句对
     Covers for Regular  semigroups
     正则~*-半群的覆盖
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     s-Regular Cyclic Coverings of Heawood Graph
     Heawood图的s-正则循环覆盖
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     S-REGULAR SEMIGROUPS
     S-正则半群
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     Q-Regular Spaces
     q-正则空间
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     On a Covering Problem
     一个覆盖问题
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  regular covering
Let M be a projective manifold, p: MG→M a regular covering over M with a free Abelian transformation group G.
      
Let X be a finite connected CW-complex and ρ:[InlineMediaObject not available: see fulltext.] a regular covering space with free abelian covering transformation group.
      
If the trigonal morphism is a cyclic regular covering, the Riemann surface is called cyclic trigonal Riemann surface.
      
The construction leads to the description of a family of nilpotent spacesX0,X1,...,Xs-1, all in the same genus, no two of the same homotopy type, such that eachXi covers its successor as a cyclicl-sheeted regular covering; of course,Xs-1 coversX0.
      
By the above two propositions, the theorem is true if it is a regular covering.
      
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  regular coverings
Let π1:K→H, π2:H→G and π2π1:K→G be three finite regular coverings of graphs, and let σ be a representation of the covering transformation group of π1.
      
In this paper, we classify the half-arc-transitive regular coverings of the complete bipartite graph K4,4 whose covering transformation group is cyclic of prime-power order and whose fibre-preserving group contains a half-arc-transitive subgroup.
      
It has property Cr if the above is true for all regular coverings.
      


In this paper authors use the concepts of cs-networks, sequential-neighbor- hood networks, sequential-open networks and weak bases, discuss the relations among point-regular covers, uniform covers and point-star networks of point-finite covers in spaces, and establish the characterizations of images of metric spaces under some sequence-covering (compact) mappings. In particular, it is shown that the image of metric spaces under sequence-covering (or 1-sequence-covering) compact mappings is equivalent to the...

In this paper authors use the concepts of cs-networks, sequential-neighbor- hood networks, sequential-open networks and weak bases, discuss the relations among point-regular covers, uniform covers and point-star networks of point-finite covers in spaces, and establish the characterizations of images of metric spaces under some sequence-covering (compact) mappings. In particular, it is shown that the image of metric spaces under sequence-covering (or 1-sequence-covering) compact mappings is equivalent to the space with point-regular cs-networks, which answers a Tanaka's question.

本文利用了cs网、序列邻域网、序列开网和弱基的概念,讨论了空间中点正则覆盖,一致覆盖和点有限覆盖的点星网之间的关系.建立了度量空间在几类序列覆盖(紧)映射下象空间的特征,特别地证明了度量空间的序列覆盖(或1序列覆盖)紧映象等价于具有点正则cs网的空问,回答了Tanaka等提出的一个问题.

We use a new linear criteria for lifting automorphisms of base graph to the covering graphs to classify all the connected vertex-transitive regular coverings of Petersen graph satisfying the following two properties: ① the covering transformation group is isomorphic to the elementary abelian p-group Zn p; ② the group of fiber-preserving automorphisms of coverings acts vertex-transitively.

运用基图自同构能被提升的线性准则 ,对满足 :1覆叠变换群 K =Znp,2覆盖图的保簇变换群是点传递的 Petersen图的连通正则覆盖图进行了完全分类 .这种图共有 1 2种类型 .

The invariants which determine the graphs is discussed according to the theory of group,then the formula for the characteristic polynomials of an oriented regular covering of a finite digraph and the formula for the characteristic polynomials of an oriented total graph of an oriented regular covering is obtained.

借助于群理论讨论了图的不变量,得到了有向图的正则覆盖及其有向全图的特征多项式的表达式.

 
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