一般拓扑学的英文

• general topology

• "一般"英文翻译    same as; just like
• "拓扑学"英文翻译    topology; analysis situs
• "一般拓扑空间" 英文翻译 :    general topological space
• "拓扑学" 英文翻译 :    [数学] topology; analysis situs◇拓扑学家 topologist
• "边界 (拓扑学)" 英文翻译 :    boundary (topology)
• "代数拓扑学" 英文翻译 :    algebraic topology
• "低维拓扑学" 英文翻译 :    geometric topology
• "点集拓扑学" 英文翻译 :    general topology
• "分层拓扑学" 英文翻译 :    layer topology
• "分析拓扑学" 英文翻译 :    analytical topology
• "化学拓扑学" 英文翻译 :    chemical topology
• "环形拓扑学" 英文翻译 :    ring topology
• "集合拓扑学" 英文翻译 :    set-theoretic topology
• "几何拓扑学" 英文翻译 :    geometric topology; low-dimensional topology
• "离散拓扑学" 英文翻译 :    discrete topology
• "连续拓扑学" 英文翻译 :    continuous topology
• "模糊拓扑学" 英文翻译 :    fuzzy topology
• "普通拓扑学" 英文翻译 :    general topology
• "群集拓扑学" 英文翻译 :    clusters topology
• "生物拓扑学" 英文翻译 :    biotopology
• "拓扑学；地志学" 英文翻译 :    topology
• "拓扑学的" 英文翻译 :    topological
• "拓扑学家" 英文翻译 :    topologist
• "拓扑学理论" 英文翻译 :    topologictheory
• "拓扑学术语" 英文翻译 :    topology glossary

• 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
• 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。
• 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。
• As the layer structure of lattice , relative separation properties and relative compactness in l - fuzzy topological spaces are more complex than that in general topological spaces
  由于层次结构的存在， l - fuzzy拓扑空间中的相对分离性和相对紧性较一般拓扑学中的相对分离性与相对紧性复杂得多。
• 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。
• 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。
• Properties of the relative topology have always played essential roles in topological spaces . until now , some important results have been obtained in general topological spaces , especially on the relative separation axioms and relative compactness
  自从20世纪80年代a . v . arhangel ’ skii提出并系统地介绍了相对拓扑性质以来，相对拓扑性质一直是人们关注并不断研究的课题，特别是在一般拓扑学的相对分离性与相对紧性方面获得了相当有趣的结论。
• In the first part , the concepts of the completely normal spaces and strong completely normal spaces in l - topological spaces are defined , which are the generalization of the completely normal spaces in general topological spaces . they are some good properties such as hereditary , weakly homeomorphism invariant properties , good l - extension , but they are n ' t producible in general . moreover , their several sufficient and necessary conditions in induced spaces are presented
  第一部分的主要内容如下：第一部分这一部分是将一般拓扑学的完全正规分离性的概念推广到了l -拓扑空间，给出了l -拓扑空间的完全正规分离性和强完全正规分离性的定义并讨论了它们的若干性质，比如，它们都是可遗传的，弱同胚不变的， “ lowen意义下好的推广”等。
• So far , mathematicians who study topology have obtained substantial achievements in important topological directions , such as generalized metric space , cardinal function , compactness , dimension theory , etc . but what is worth to paying attention to is that we often draw on one special type of topological space to think and solve problems , for example , the classical structures , sorgenfrey line k , michael line rq , niemytzki planetv , kxk , # q xp , etc . ; subtle and profound topological properties aredetailedly characterized by them
  而值得注意的是，在一般拓扑学的研究历史中，我们常常借助一类特殊的空间来思考和解决问题，如我们熟悉的经典构造： sorgenfrey直线k 、 michael直线r _ q 、 niemytzki平面n 、 k k 、 r _ q p等等，漂亮地刻画了细微而深奥的拓扑性质。
• In chapter three , firstly , the concept of relative strong separation st1 , s - hausdorff ( st2 ) , s - regular ( st3 ) , s - normal ( st4 ) is introduced , and then some equivalent characterizations of relative strong separation properties are given respectively . secondly , we investigate relative strong separation properties and discuss the relationship between strong separation and relative strong separation . in chapter four , we introduce several kinds of relative compactness in l - fuzzy topological spaces firstly
  本章以一般拓扑学中的相对分离性和l - fuzzy拓扑学中的强分离性为基础，在l - fuzzy拓扑空间中引进了相对强分离性，研究了相对强t _ 1 、相对强hausdorff (强t _ 2 ) 、相对强正则(强t _ 3 ) 、相对强正规(强t _ 4 )分离性的性质并给出了它们的一些等价刻画。