度量拓扑

In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里，我们地德摩根代数中引进了伪度量，探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理，得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理，最后给出一个德摩根拓扑代数可度量化的充分条件。

Chapter 3, in the above system, gives out the definitions of topological new transitivity, topological transitivity, topological strong transitivity and topological conjugate of a sequence of maps, studies basic properties of the above topological conjugate, and obtains some main results, proves topological new transitivity and topological transitivity are equivalent u-under a compact metric space, a sequence of full maps and interchangeable with each other, and that some conclusions associated with topological conjugate.

第三章，在上述系统中给出了一列映射的拓扑新传递、拓扑传递、拓扑强传递和拓扑共轭的定义；研究了一列映射的拓扑共轭的基本性质，得到了一些主要结果；证明了在底空间是紧致度量空间、一列映射是满映射并且两两可交换的条件下拓扑新传递和拓扑传递是等价的；还证明了几个与拓扑共轭相关的结论。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

We prove in this paper that topological entropy is zero, in systems of equivariant mapping, that systems of compression mapping, and systems of the homeomorphism of unit circle onto itself, while the toppological entropy is positive, that extensible mapping in the compact toppological metric space.

证明了在一般的紧致度量空间上，等距映射的系统，压缩映射的系统，单位圆上的自同胚映射的系统等的拓扑熵都为零，而可扩映射的系统有正的拓扑熵。

In this paper, the concept of a WF - fuzzy metric space is introduced.

描述了WF-模糊度量空间的模糊拓扑结构和分明拓扑结构； 3。

The measurement in set theory, the properties of Metric Space, Measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

Some important properties of L-topological spaces, induced topological spaces, fuzzy real lines and fuzzy metric spaces in topology on lattices are obtained.

在格上拓扑中，对L-拓扑空间、诱导拓扑空间、fuzzy 实直线和fuzzy度量空间等的性质研究，得到了一系列重要的结果。

A 4 Quantity Model (4QM) for partitioned area entities in terrain OTIN via combining topology relation with metric relation is proposed subsequently. Spatial topological relation and metric relation are described in one model.

将拓扑和度量关系相结合，本文给出了地形OTIN中剖分面状地理实体的4数模型(4QM)，使得拓扑关系和度量关系表达在同一个模型中。4QM可以作为地形OTIN中地理实体边界简化的参考。

The research conducted in this paper solves the symbolic structure of the devil's carpet and the metrization of the plateau of an equal topological entropy class, and presents the symbolic description and visual realization of equal entropy fractals.

本研究解决了拓扑熵魔毯的符号结构和等拓扑熵类平台的度量刻划；获得了等熵分形的符号刻划及直观实现。

To acquire the inherent topology properties and characteristics of the topology graph at AS-level, we introduce basic network model (Scale-free network and Small-world network) and evaluating parameters (such as cluster coefficient, average path length, degree distribution, Pearson correlation coefficient) in this thesis. Through thorough analysis of the topology of the generating topology at AS-level, we can see some apparent properties with the evaluating parameters and the inherent power-law distribution property of the derived topology. Besides, we discuss the perspective of the evolution of the networks topology based on these analyses.

为了研究Internet自治系统级拓扑的内在拓扑特性和规律，利用了复杂网络的基本网络模型(无标度网络和小世界网络)和度量参数(簇系数、平均路径长度、节点度分布、皮尔森系数等)，对生成的自治系统级拓扑进行了大量的分析，从中可以看出度量参数具有一些明显的特性，拓扑中具有一些幂律分布特性，并对网络拓扑的演化发展的趋势进行了探讨。

complete metric space：完全度量空间

完全的拓扑群|complete topological group | 完全度量空间|complete metric space | 完全二部图|complete bipartite graph

metrically convex subset：度量凸子集

metric topology 度量拓扑 | metrically convex subset 度量凸子集 | metrically dense 度量的稠密

meddle：干预

以此方式,皮亚杰就为时空实在与数学之间引入了一种崭新的关系,这种关系既不是抽象的也不是先验的,而是依赖于我们干预(meddle)世界的方式的结构. 度量结构、拓扑结构和代数结构既不依赖于自然界,也不依赖于我们的思想,

metric tensor：基本张量

metric subspace 度量子空间 | metric tensor 基本张量 | metric topology 度量拓扑

metric topology：度量拓扑

metric tensor 基本张量 | metric topology 度量拓扑 | metrically convex subset 度量凸子集

complete topological group：完全的拓扑群

完全的函数系|complete system of functions | 完全的拓扑群|complete topological group | 完全度量空间|complete metric space

uniform space：一致空间

一个度量空间或一致空间(uniform space)被称为"完备的",如果其中的任何柯西列都收敛(converges),请参看完备空间. 在泛函分析(functional analysis)中, 一个拓扑向量空间(topological vector space)V的子集S被称为是完全的,