基本解释：次闭映射
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In this paper, we discuss the relationships between closed maps and closed filters which is closely related with Gabriel topologies.在Quantale中讨论了与Gabriel拓扑密切关联的闭滤子,给出了闭滤子与闭映射之间的相互确定关系。
To obtain the function and imbedding properties about relative countable tightness spaces,in this paper the question whether the relative countable tightness space can be adversely preserved by a closed map is studied by means of function and imbedding theories.为了得到相对可数紧度空间的映射及嵌入性质,借助映射方法和紧化理论讨论了相对可数紧度空间被闭映射逆保持问题及嵌入紧空间问题,得到了相对可数紧度空间被闭映射逆保持的一个充分条件、局部紧的可数紧度空间可嵌入紧空间的几个充分条件以及某一类局部紧空间在任意紧化中不具有可数紧度等结果。
Meanwhile,the paper finds out the relationship between prequantale morphism & the operation of a prequantale and obtains that a closed map of prequantales is a necessary & sufficient condition for a prequantale morphism.找到了Prequantale中态射与蕴涵运算的关系,得到了Prequantale上的一个闭映射是态射的充要条件。
It is also found that the results from the mapping closure model and the counterflow model are very close.评估了映射封闭模型、对撞流模型、来自均匀湍流PDF输运方程的模型和一个唯象模型。
Pretopological molecular lattices and open mappings and closed mappings between them;预拓扑分子格以及它们之间的开映射和闭映射
This paper proved that spaces with σ - hereditarily closure preserving pseudobase be preserving by closed mapping.证明了具有σ－遗传闭包保持伪基的空间被闭映射保持。
The spaces with σ-HCP-k networks or with σ-WHCP-k networks have following properties: (1) hereditability; (2) under closed mappings are preserved; (3) locally summation theorem; (4) melization theorem.具有σ-HCP-k网或具有σ-WHCP-k网的空间有以下性质:(1)遗传性;(2)在闭映射下被保持;(3)局部和定理;(4)度量化定理。
Deepen the open mapping theorem,define the closed mapping and the weakly closed mapping under untithesis,and also discuss some of their related properties.深化算子的开映射定理,对偶地定义了算子的闭映射与弱闭映射,并讨论了相关的若干性质。
We prove that closed Lindelof mappings with regular domains and images inversely preserve sequential mesocompactness,which improves the same result of Mancuso V J about perfect mappings.证明了正则空间中闭Lindelof映射逆保持序列式meso紧性,从而改进了Mancuso V J关于正则空间中完备映射逆保持meso紧性这一结果;进一步我们指出定理条件中原象空间的正则性不可被省略而象空间的正则性可以用原象空间的正规性来替代。
