分解是连续的，当且仅当X到这个分解空间上对应的商映射(quotient maPPing)是闭的.空间X到空间Y上的连续映射f:X~Y是闭的，当且仅当X的分解妙一毛fl(y):y“Y}是连续的.
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fuzzy quotient mapping 模糊商映照
sequence-quotient mapping 序列商映射
-sequence-quotient mapping 序列商映射
hereditarily quotient mapping 遗传商映射
L-fuzzyN-compact quotient mapping LF紧商序同态
quotient set mapping 商集映射
With the help of the thought and method of general topology,the concepts of continuous mapping and quotient mapping between reasoning closure spaces are introduced ,the basic properties of continuous mapping and quotient mapping with the relation between them are discussed.
结合拓扑学的思想和方法,在推理闭包空间之间引入了连续映射和商映射的概念,讨论了连续映射和商映射的基本性质以及它们之间的关系。
参考来源 - 推理闭包空间之间的连续映射及商映射·2,447,543篇论文数据，部分数据来源于NoteExpress
In this paper, we introduce the concept of compact quotient mapping and compact quotient topology, discuss systematically their basic properties and establish some interesting results.
引进了紧商映射与紧商拓扑的概念，系统地讨论了它们的性质，得到若干有趣的结果。
So studying continuous and homeomorphism on the mapping of quotient Spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.
通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用，所得结论可以得到更好应用。
It is also shown that: 1-sequentially quotient, compact mapping is 1-sequentially covering mappings.
此外本文还证明了度量空间上的1 -序列商，紧映射是1 -序列覆盖映射。
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