第一可数空间的英文

• first-countable space

• "第一"英文翻译    first; primary; foremost; fi ...
• "可"英文翻译    approve
• "数"英文翻译    frequently; repeatedly
• "空间"英文翻译    space; enclosure; room; blan ...
• "第一可数拓扑空间" 英文翻译 :    first countable topological space
• "第二可数空间" 英文翻译 :    second-countable space
• "第一可数性公理" 英文翻译 :    first axiom of countability
• "数空间" 英文翻译 :    number space
• "【数学】函数空间。" 英文翻译 :    function space
• "波数空间" 英文翻译 :    wave number space
• "参数空间" 英文翻译 :    parameter space
• "代数空间" 英文翻译 :    algebraic space; algebraicspace
• "范数空间" 英文翻译 :    norm space
• "复数空间" 英文翻译 :    complex number space
• "函数空间" 英文翻译 :    function space; functional space
• "函数空间法" 英文翻译 :    function space
• "模数空间" 英文翻译 :    modular space
• "实数空间" 英文翻译 :    real number space
• "四元数空间" 英文翻译 :    space of quaternions
• "系数空间" 英文翻译 :    coefficient space
• "第一可变成份" 英文翻译 :    x=first changeable composition
• "测试函数空间" 英文翻译 :    test function space
• "广义函数空间" 英文翻译 :    distribution space
• "模数空间网格" 英文翻译 :    modular space grid
• "判决函数空间" 英文翻译 :    space of decision functions

• 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。

• 第一可数空间的法语：Espace à bases dénombrables de voisinages
• 第一可数空间的韩语：제1 가산 공간
• 第一可数空间的俄语：Первая аксиома счётности