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摘要: |
开映射是点集拓扑中的一个概念,它在拓扑空间的研究中有着十分重要的作用,对开映射的研究是有意义的.利用与开映射有关的结论例如开映射与同胚的关系等,进一步探讨了开映射的性质定理. |
关键词: 开映射 连续映射 同胚 商拓扑 |
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Properties of the Open Mapping |
HUO Cheng-gang
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Abstract: |
Open mapping is a concept in point set topology and it plays a very important role in the study of topological spaces.So it is significant to reserch the open mapping.In this paper,some properties and theorems about open mapping are discussed by using conclusions related to open mapping,for example,the reletionship between open mapping and homeomorphism and so on |
Key words: open mapping continuous mapping homeomorphism quotient topology |