例句與造句

1. A mapping theorem on sn - metrizable spaces
   可度量化空間的映射定理
2. Completely metrizable space
   完全可度量化空間
3. In other words , d . burke and r . engelking and d . lutzer proved that a regular space is metrizable space if and only if it has a - hereditarily closure - preserving base in 1975 , and introduced weakly hereditarily closure - preserving families , which proved that a regular k - space has - weakly hereditarily x closure - preserving bases is metrizable space , too
   Burke ， r engelking和d lutzer證明了正則空間是可度量化空間當(dāng)且僅當(dāng)它具有遺傳閉包保持基，并引入了弱遺傳閉包保持集族( weaklyhereditarilyclosure - preservingfamilies ) ，同時(shí)證明了具有弱遺傳閉包保持基的正則的k空間是可度量化空間。
4. 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
   在文獻(xiàn)[ 4 ]中，夏省祥引進(jìn)了弱開映射，并研究了它和1 -序列覆蓋映射的關(guān)系。本文在第二節(jié)研究了弱開映射與序列商映射，幾乎開映射的關(guān)系，證明了有限到一的弱開映射保持g -第一可數(shù)空間；弱開閉映射保持g -度量空間。第三節(jié)研究了文獻(xiàn)[ 5 ]中的一個(gè)例子，證明了完備映射不保持g -第一可數(shù)空間， g -度量空間， sn -第一可數(shù)空間， sn -度量空間。
5. In this paper , we give a new characterization of metrizable spaces in terms of g - functions to answer nagata ' s question and equivalent characterizations of - spaces , spaces with - cp cs - network in terms of g - functions . we give weak g - functions as the generalizations of g - functions and cwbc - map , and we characterize some metrizable spaces in terms of weak g - functions
   本文利用g -函數(shù)給出了度量空間的一個(gè)新刻劃，回答了nagata的問題，并利用g -函數(shù)給出了-空間、具有- cpcs -網(wǎng)的空間的等價(jià)刻劃，我們還將g -函數(shù)與cwbc -映射統(tǒng)一推廣為弱g -函數(shù)，并利用弱g -函數(shù)刻劃了一些度量空間。
6. It's difficult to find metrizable space in a sentence. 用metrizable space造句挺難的