商映射（quotient mapping），是一类连续映射。 设R为集合E中的等价关系，f为从E到集合F中的与R相容的映射。从E/R到F中使x的类对应f(x)的映射g叫做通过对R求商从f导出的映射。设S为F中的等价关系，如果f与R及S是相容的，则从E/R到F/S中使x的类对应f(x)的类的映射叫做通过对R与S求商从f导出的映射。
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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半商映射 semi-quotient mappings
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
三商映射是完备映射和开映射的共同推广。
Tri quotient maps are a common generalization of perfect maps and open maps.
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。
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.
事实上，不同的厂商映射端口的方式略有不同，所以你可能只有大约4000个端口是可用的。
Realistically, since different manufacturers map the ports in slightly different ways, you can expect to have about 4,000 ports available.
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