第一可数空间的英文

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英文翻译
造句

first-countable space

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

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例句与用法

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。