点集拓扑

点集拓扑理论在拓扑关系描述中的应用

Application of Point Set Topology in the Description of Topological Relations

点集拓扑的实数背景在点集拓扑教学中的作用

The Role Played in Teaching by Real Number Background of Point Set Topology

以Fuzzy拓扑与点集拓扑为背景，最近逐渐形成了一个以研究某类格上的有点化拓扑为主旨的新理论。

A new theory taking fuzzy topology and general topology as its background and dealing with Pointwise topology on certain lattices appeared recently .

文章没有利用代数拓扑知识，而是利用点集拓扑知识证明了Brouwer不动点定理。

Brouwer 's fixed point theorem is shown to make use Of the knowledge of Point set Topology but not to make use of the knowledge of Algebraic Topology .

关于一般师范院校点集拓扑教学内容的一点思考

A Thinking of Teaching Content about Point Topology in General Teachers Colleges

点集拓扑中一个重要定理的非标准证明

On Fixed Point Sets A nonstandard proof for a major theorem in topology

在点集拓扑理论中，开集、域等是最基本的概念。

In point set topological theory , open set and neighborhood are the basic concept .

点集拓扑教学中提高学生的抽象思维能力探讨

Improving the students ' abstract thinking ability in the tuition of set of points topology

点集拓扑的40个问题

Forty Problems of Set Topology

习惯上拓扑学被分成点集拓扑、代数拓扑和微分拓扑三部分。

Topology is traditionally decomposed into three parts : General topology , Algebraic topology and Differential topology .

然后，基于场模型建立了模糊地理目标的空间表达，分析了模糊地理目标的位置不确定性，进而建立了模糊地理目标的拓扑表达模型，即点集拓扑内部、边界和外部。

Then , how to model geometry of fuzzy geographic object and its locational uncertainty is analyzed in details .

借鉴点集拓扑理论在空间拓扑关系中的应用，把这一理论拓展到了时态拓扑关系的分析中，给出了时态拓扑关系的定义、描述和应用例子。

According to the application to spatial topological relationship of point-set topology theory , we also develop point-set topology in temporal relationship field and form the definition and description of temporal relationship .

注意各门学科之间的交叉关系，将高等代数、实变函数、泛函分析、点集拓扑等相关内容与数学分析进行整合。

We should pay attention to the cross relation of all kinds subject , arrange and merge relative content of mathematical analysis in the advance algebra , the real analysis , function analysis and the point topology .

首先介绍了点集拓扑理论，归纳了有实际应用价值的各种拓扑关系，分析了拓扑模型中的最基本拓扑元素和空间实体的关系；

This paper firstly introduces the point set of topology theory , enumerating all kinds of topology relations which have practical application value . The relationship between a base topology element and spatial entity in the topology model is also analyzed .

圆周上连续自映射非游荡点集的拓扑结构

Topological Structure of Nonwandering Sets of Continuous Self-Maps of the Circle

测量点集网格拓扑重建是曲面重建的关键技术之一。

Mesh topology reconstruction is one of the key technologies of surface reconstruction .

树映射的单侧γ-极限点集与拓扑熵

The Set of Unilateral 7-limit Points and the Topological Entropy of a Tree Map

本文对度量空间上拓扑传递的连续半流，研究了其敏感依赖性及周期点集的拓扑性质。

In this paper , we study the complexity of transitive continuous semi-flow on compact metric space .

非游荡点集为拓扑动力系统中所涉及到的一类重要点集。

The set of non-Wandering Points is one of the most important set of points in the topological dynamical system .

测度中心为单点集的强拓扑混合系统

A Topologically Mixing System with Its Measure Center being a Singleton

基于点集拓扑学的三维拓扑空间关系形式化描述

The formal description of topological spatial relationship in 3D based on point set topology