Chinese translation for "general topology"

点集拓扑学
集论拓扑
普通拓扑学
一般拓扑学

Related Translations:

topology:  n.地学志；【数学】拓扑学；拓扑(结构)；【解剖学】局部解剖学。adj.-ical

layer topology:  分层拓扑学

topology foreground:  拓扑前台

protein topology:  蛋白质拓扑学

fuzzy topology:  模糊拓扑学

topology structure:  拓扑结构, 布局结构

compatible topology:  相容拓扑学

quark topology:  夸克拓扑

feature topology:  特征拓扑

combinatorial topology:  组合拓扑学组合拓朴学

Example Sentences:

	1.	General topology has gone through over one hundred years " development 一般拓扑学经历了一百多年的漫长发展历史
	2.	Chapter one defines some notions and gives some theorems about general topology and l - fuzzy topology we will use in this paper 第一章对全文将要用到的一般拓扑学中的相对拓扑性质及l - fuzzy拓扑学中的概念与结果等预备知识作了简要概述。
	3.	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。
	4.	Its importance may be judged from the fact that it has had many applications in fields as diverse as general topology , lattice theory , category theory and theoretical computer science as well as in many other areas of mathematics Domain理论为计算机程序设计语言的指称语义学奠定了数学基础，处于拓扑学，格论，范畴论及理论计算机等多学科的交汇处，有着重要的研究价值。
	5.	In the research and development of general topology the metriz - able problem of the topological spaces was a central task interminally , this is because that metric spaces have a lot of good proverties , and they have important application in the field of math 在一般拓扑学的研究和发展中，拓扑空间的可度量化问题始终是一个中心课题，这是因为度量空间具有许多良好的性质，在数学领域内有着重要的应用。
	6.	Not only does go - space provide rich examples , but also go - space buildes a bridge between general topology and related mathem atics branches , such as lattics theory , domain theory , graph theory , real number theory , etc . thus it is very important in theory and reality to study go - space 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。
	7.	It is a main task of general topology to compare different spaces . mappings which connect different spaces are important tools to complete it . which mapping preserves some special generalized metric space is a basic probleme in investigating generalized metric spaces by mappings . g - first countable spaces and g - metri / able spaces have many important topological properities so to investigate which mapping preserves them is very necessary . in [ 7 ] , clnian liu and mu - ming dai prove that open - closed mappings preserve g - metri / able spaces ; whether open mappings preserve g - first countable spaces is an open probleme asked by tanaka in [ 6 ] . in [ 4 ] , sheng - xiang xia introduces weak opewn mappings and investigates the relations between them and 1 - sequence - covering mappings . in the second section of this article , we investigate weak open mappings have the relations with other mappings and prove that the finite - to - one weak open mappings preserve g - first countable , spaces and weak open closed mapping preserve g - metrizable spaces . in the third section , we investigate an example to show that perfect mappings do not preserve g - first countable spaces , g - metrizable spaces , sn - first countable spaces and sn - metrizable spaces 在文献[ 4 ]中，夏省祥引进了弱开映射，并研究了它和1 -序列覆盖映射的关系。本文在第二节研究了弱开映射与序列商映射，几乎开映射的关系，证明了有限到一的弱开映射保持g -第一可数空间；弱开闭映射保持g -度量空间。第三节研究了文献[ 5 ]中的一个例子，证明了完备映射不保持g -第一可数空间， g -度量空间， sn -第一可数空间， sn -度量空间。
	8.	Although its independence and development were late more relative to some other antique mathematical course such as analytics , algebra , euclidean geometry and number theory , through over one hundred years , especially the vivid development from the 1940s to the 1970s , general topology are getting increasingly mature and perfect 虽然它的独立与发展相对于其他一些古老的数学学科如分析学，代数学，欧氏几何学和数论要晚了许多，但经过一百多年，特别是20世纪40年代到70年代的蓬勃发展，一般拓扑学日趋成熟与完善。
	9.	Not only have the reseach results about go - space enriched the contents of general topology , but also have increased ingenious creativity and breakthrough and made general topology more wonderful and lively because of making use of the theory about ordinal and cardinal in set theory , axiomitic system and combinatorial theory 一个世纪来， go -空间的研究成果不仅在内容上丰富和充实了一般拓扑学，而且由于借助集合论的基数和序数理论、公理体系及组合思想等，在方法上也给一般拓扑学增添丁巧妙的创造性和突破性，使一般拓扑学变得更加精彩生动。

Similar Words：

"general tonic" Chinese translation, "general tonic pill" Chinese translation, "general tool" Chinese translation, "general tools" Chinese translation, "general topological space" Chinese translation, "general tort" Chinese translation, "general toshevo" Chinese translation, "general totalization indicating device" Chinese translation, "general toxic poisoning" Chinese translation, "general toxicant" Chinese translation