连通空间

讨论了某些拓扑空间的有限笛卡儿乘积，主要包括紧致空间、连通空间、以及A2（A1）空间。

In this paper , the Cartesian Product of three topological spaces , compact space , connected space and A2 ( A1 ) space , were studied , and three corresponding conclusions are given .

θ&连通空间及其性质

θ - Connected Space and Its Properties

θ-弧连通空间与θ-弧连通

θ - Arcwise Connected Spaces and θ - Arcwise Connected

S－完全不连通空间

On the S - Totally Disconnected Spaces

半连通空间联想的空间模型

Semi-connected spaces a space model of Association

弧连通空间与收敛类

Arcwise connected space and convergence classes

不分明局部连通空间的一些性质

Properties of Locally Connected Fuzzy Spaces

半弧连通空间

Semi - arcwise Connected Spaces

H-连通空间的乘积

Multipliable Property of H-Connected Space

在二维多连通空间弗曼路径积分同伦类的对称性及角动量量子化

Symmetry of Homotopy Classes of Feynman Paths in Two-Dimensional Multiply Connected Spaces and Quantization of Angular Momentum

局部序列连通空间

Locally sequentially connected space

浅议完全不连通空间

On Complete Unconnection Space

本文从研究半拓扑子集出发，给出了极不连通空间的若干新特征。

This paper starts from semi-topological subsets and proves that extremally disconnected space is newly characterized by some equivalent conditions .

在所考虑空间是完全正则空间的前提下，本文给出局部连通空间的一个特性。

Under the condition of space X being regular we give out the property of space X being locally connected .

该方法根据所给定的物体和边缘特征信息将原始医学图象转换到模糊连通空间，获得模糊边界。

When given characteristic information about the desired object and its edge , the new algorithm transformed the original images into fuzzy connective space and extracted their fuzzy boundary .

由θ开集理论引入了θ连续映射、θ同胚、θ连通空间及θ连通等概念。

In this paper , concepts of θ continuous mappings ,θ homeomorphism ,θ connected spaces and θ connection etc. are introduced by θ open sets theory . The characteristics of θ continuous mappings are given .

B闭空间是重要空间S闭空间的推广，是H（i）空间的特殊情形，但在极不连通的空间中，B闭空间、S闭空间、H（i）空间彼此等价。

B-closed space is the generalization of S-closed space , and it is the special state of space . B-closed space , S-closed space and space are equivalent in extremely disconnected spaces .

此外，引入并发展了复Hilbert空间H的强连通子空间、连通子空间、分离子空间及准素子空间的概念，并利用Successor算子研究这些空间的结构性质。

Moreover , we introduce and develop the notions of strong connectedness , connectedness , separated subspaces , and primary subspaces of complex Hilbert space , the results in this paper which deal with these concepts give structural properties for these spaces .

目的在点标道路连通CW空间的同伦范畴中，引进覆叠同伦正则态射的概念，研究它存在的条件、性质以及它与覆叠同伦单（满）态和覆叠同伦等价之间的关系。

Aim To define covering homotopy regular morphism in the homotopy category of pointed path-connected CW-spaces . To discuss its existence conditions , properties and the close relationships to covering homotopy monomorphism ( epimorphism ) and covering homotopy equivalence .

第一章讨论覆叠同伦正则态射，首先在点标道路连通CW空间的同伦范畴中引进覆叠同伦正则态射的概念，并研究了它存在的条件、性质。

In Chapter 1 , we discuss the covering homotopy regular morphism . First , we introduce the concept of covering homotopy regular morphism in the homotopy category of pointed path-connected CW-spaces and discuss its existence conditions and properties . Second .

联想的空间模型连通度量空间的映象

A space model of association the images of connected metric spaces

连接间隙，接缝间隙局部弧连通拓扑空间

Gap ( p ) ing of joints locally arcwise connected topological space

连通度量空间的映象

The images of connected metric spaces

局部弧连通拓扑空间

Locally arcwise connected topological space

完全不连通度量空间

Totally disconnected metric space

本文研究连通拓扑空间中最大可变性集合的特征及其存在性。

In this paper , We study the characterization of most variability set in the connected topological space and its existence .

CFD技术在连通类高大空间空调系统设计中的应用研究

Application Research of CFD Technology in Air Condition System Design of Run-Through Large Space

进一步给出在Lipschitz连通的度量空间具有压缩性质的充分必要条件是空间具有Lipschitz完备性。

Moreover , Lipschitz connected metric spaces have the contraction property if and only if it is Lipschitz complete .

证明在道路连通的度量空间中压缩性质不一定能推出通常的完备性，但可以推出Lipschitz完备性。

Author note that in path connected metric spaces the contraction property implies not , in general , usual completeness but Lipschitz completeness .

三维有序大孔（3DOM）材料具有均一可调的孔径和相互连通的三维空间有序大孔孔道，在吸附/分离、催化、过滤、光电子及电化学等领域具有广阔的应用前景。

Three-dimensionally ordered macroporous ( 3DOM ) materials have shown wide application prospects in the fields of adsorption / separation , catalysis , filtration , photoelectron , and electrochemistry because of their uniform tunable pore sizes and three-dimensionally ordered macropores which connected to each other .