General Topology

This paper is a continuous approach of paper [ 2] [ 3] based on paper [ 1]. Connectivity of lattice topology is discussed, relative results in general topology are mostly extened to lattice topology, and some interesting results are also obtained.

本文在文献[1]的框架下，继续文献[2][3]的工作，讨论格拓扑空间的连通性，几乎把普通拓扑的有关结论都推广到格拓扑中来，并且得到一些有趣的结果。

Recent developments in general topology of Japan

日本一般拓扑学研究动态

Furthermore some numerical simulations are given to verify that theoretical results. This article mainly focuses on three specific matters: 1. We study the consensus in second-order continuous multi-agent system which is general topology.

并通过数值仿真验证了结论的正确性，本文主要研究了以下三方面1.研究了具有一般拓扑结构的连续时间的二阶多个体系统的一致性问题。

The theory of generalized metric spaces is an important question of general topology.

广义度量空间理论是一般拓扑学研究的重要课题.

Synchronization issue of a dynamical network with general switching topology is investigated.

研究了一般切换拓扑网络的同步问题。

Heritability is an important property in the study of the general topology.

遗传性是一般拓扑学中研究的重要问题之一。

As we know, compactness and closeness theory play very important roles in general topology.

我们知道，紧性和闭性理论在拓扑学中起着非常重要的作用。

A general topology description language: TOD ( TOpology Description), which is used to describe the topology of the static interconnection network in parallel computers, is proposed in this paper. It becomes a right-hand tool for a parallel computer simulator.

提出了通用的面向并行机静态互联网络拓扑结构的描述语言TOD（TOpology Description），为仿真系统提供了有力的拓扑结构描述工具。

Pinning Control of Complex Dynamical Networks with General Topology and Time Delays

一般拓扑结构复杂网络的时滞同步牵制控制

The method of mappings and covers is a basic tool to study general topology.

映射与覆盖的方法是研究一般拓扑学的基本工具。

General topology, security, and data considerations.

一般的拓扑、安全性和数据考虑事项。

Different from the general topology optimization design, both the optimal topology and the optimal shape and size can be obtained.

这类问题不同于一般意义的拓扑优化问题，其优化结果不仅得到最优拓扑，而且得到最优形状和尺寸。

Study and implementation of broadcasts based on general logic topology structures

基于一般逻辑拓扑结构的广播通信研究和实现

We introduce and study connectedness relative to a subbase for the topology, and obtain their some properties, which generalize connectedness in a general topology.

在最近由它们导入的关于子基的连通性基础上，给出了关于子基的局部连通性概念，并研究它的性质，得到一般拓扑学中局部连通性的一种推广。

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

It is covering, as we know, that the tool is in the general topology for transition of property from the local to the macroscopic.

从一般拓扑中我们知道，把局部性质过渡到整体性质，一个很重要的工具就是覆盖。

The conventional surface reconstruction techniques can only deal with surfaces with simple general topology. For complex surfaces, it is difficult to handle the inter-patch joint to maintain continuity among neighboring surfaces.

常用的曲面重构技术一般只能处理拓扑结构简单的曲面，对于复杂曲面，很难处理曲面片间的拼接，使相邻曲面片保持连续。

The paper explores the theory of the convergence of fuzzy filter, extends most of results of filter convergence in general topology.

本文主要讨论Fuzzy滤子的收敛理论，将一般拓扑学中滤子收敛方面的结果几乎全部推广到Fuzzy拓扑学中。

Not only does GO-space provide rich examples, but also GO-space buildes a bridge between general topology and related mathematics branches, such as Lattics theory, Domain theory, Graph theory, Real number theory, etc.

在GO-空间中，不仅给一般拓扑学提供了精彩丰富的例证，而且架设了一般拓扑学和相关数学分支的桥梁，如格论、Domain理论、图论及实数理论等等。

It is good extension of connectedness in general topology and it is productive.

它是一般拓扑中连通性的好的推广且是可乘的。

By means of level topology, we obtain the following results: starplus-connectedness is a good extension of connectedness in general topology and it is preserved by a continuous mapping.

借助于水平拓扑，得到了下面结果：Starplus-连通性是一般拓扑学中连通性的好推广而且被连续映射保持。

The insertion of function is a classical branch in general topology.

函数插入是一般拓扑学中的一个经典分支。

General topology has gone through over one hundred years'development since it was initiated to become a independent science branch by Poincare from the end of the 19th century to now.

一般拓扑学从19世纪由庞加莱开创为一个独立的科学分支至现在已经历了一百多年的发展历史。

This paper proposes a distributed election algorithm in general network topology.

本文提出了一种在任意网络拓扑下的分布式选举算法。

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

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。

Whether M_3 → M_1, is one of the most difficult classic problems in general topology, which still remains open.

至于是否M3→M1是一般拓扑学中最困难的经典性问题之一，至今尚未解决。

The separation axiom in general topology was introduced into fuzzifying topology and a concept of semi open set was given by Ying M S et al.

文[2]中将一般拓扑学中的分离性公理引入到不分明化拓扑空间中去，[3]给出了不分明化拓扑中半开集概念。

Methods Using method of the theory of set and general topology.

方法集合论与点集拓扑学中的方法。

Results In more general topology space, some common fixed point theorems are obtained for a class of commuting maps of ψ-contraction.

结果在更一般的拓扑空间框架下，得到了一类更广泛的可交换ψ-压缩映射对的公共不动点定理。

The sub-U_0 axiom is a good extension of the U_0 axiom in general topology.

次U0公理是一般拓扑中U0公理的好的扩张。