English translation for "metrizable"
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- 可度量化的
Related Translations:
- Example Sentences:
| 1. | A mapping theorem on sn - metrizable spaces
可度量化空间的映射定理 | | 2. | Completely metrizable space
完全可度量化空间 | | 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证明了正则空间是可度量化空间当且仅当它具有遗传闭包保持基，并引入了弱遗传闭包保持集族( weaklyhereditarilyclosure - preservingfamilies ) ，同时证明了具有弱遗传闭包保持基的正则的k空间是可度量化空间。 | | 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。 | | 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 -函数给出了度量空间的一个新刻划，回答了nagata的问题，并利用g -函数给出了-空间、具有- cpcs -网的空间的等价刻划，我们还将g -函数与cwbc -映射统一推广为弱g -函数，并利用弱g -函数刻划了一些度量空间。 |
- Similar Words：
- "metrist" English translation, "metritis" English translation, "metritis dissecans" English translation, "metrix" English translation, "metrizability" English translation, "metrizable group" English translation, "metrizable proximity space" English translation, "metrizable space" English translation, "metrizable uniform space" English translation, "metrizamide" English translation
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